International Conference on Algebras, Modules and Rings ... - CAUL

<strong>International</strong> <strong>Conference</strong> on Algebras, Modules and Rings
Lisboa, 14-18 July 2003
http://caul.cii.fc.ul.pt/lisboa2003/
In memory of Professor António Almeida Costa, on the centenary of his birth.
Organized by Centro de Álgebra da Universidade de Lisboa
Held at Faculdade de Ciências da Universidade de Lisboa
Scientific Committee
ƒ A. Facchini (Padova)
ƒ K. Fuller (Iowa)
ƒ M. L. Galvão (Lisboa) - coordinator
ƒ J. L. Gómez Pardo (Santiago de Compostela)
ƒ J. A. Green (Oxford, Warwick)
ƒ C. M. Ringel (Bielefeld)
ƒ D. Simson (Nicholas Copernicus - Torun)
ƒ P. F. Smith (Glasgow)
Organizing Committee
ƒ A. P. Alexandre (Nova de Lisboa)
ƒ P. Carvalho Lomp (Porto)
ƒ A. V. Fonseca (Lusófona - Lisboa, Leicester)
ƒ M. L. Galvão (Lisboa)
ƒ C. Lomp (Porto)
ƒ M. T. Nogueira (Lisboa)
ƒ C. Santa-Clara (Lisboa) - coordinator
ƒ M. E. Simões (Lisboa)
Assistants to the Organization
ƒ staff: M. Manuela Ferreira, Béatrice Huberty
ƒ students: Catarina Barroca, Patrícia Batista, Marta Cabrita, Eliana Castro, Vidal Delgado,
António V. Dias, M. Graça Duffner, Gilda M. Ferreira, Susana Frederique, Jaime Gaspar,
Joaquim Graça, Joana M. Matos, Rita Monge, Alexandra Passinhas, Ana Pinheiro, David
Raimundo, Filipe Ramos, Andrea Rodrigues, Carina Rodrigues, Ana Isabel Teixeira, Ana
Margarida Troncão

Proceedings
The proceedings of the conference will be published by Marcel Dekker, in the Lecture Notes in
Pure and Applied Mathematics. All submitted papers will be refereed to achieve a high scientific
level.
Editorial Board
ƒ Facchini (Padova)
ƒ K. Fuller (Iowa)
ƒ C. M. Ringel (Bielefeld)
ƒ C. Santa-Clara (Lisboa)
Papers should be submitted in electronic form to:
proc.lisboa03@cii.fc.ul.pt
preferably in Latex form. Please send the source along with a dvi or pdf file. Submissions will be
automatically forwarded to the Editors. Detailed instructions for submission can be found at:
http://caul.cii.fc.ul.pt/lisboa2003/
Deadline for Submission of Papers: 30th November 2003

Main Topics
The conference will include invited lectures and contributed talks. The emphasis will be on
important new developments in the areas of Module Theory, Ring Theory, Representation
Theory of Algebras and the striking connections with Non-Commutative Algebraic Geometry.
Invited Speakers
Keynote Speaker
ƒ M. Van den Bergh (Limburgs - Diepenbeek)
Main Speakers
ƒ S. Koenig (Leicester)
ƒ T.-Y. Lam (California - Berkeley)
ƒ L. Levy (Nebraska - Lincoln, Wisconsin - Madison)
ƒ O. Mathieu (Claude Bernard - Lyon)
ƒ B. Osofsky (Rutgers - New Brunswick)
ƒ C. M. Ringel (Bielefeld)
ƒ M. Saorín (Murcia)
ƒ J. Trlifaj (Karlova - Praha)
Plenary Speakers
ƒ P. Ara (Autonoma - Barcelona)
ƒ J. A. de la Pena (UNAM - Mexico City)
ƒ I. Gordon (Glasgow)
ƒ P. A. Guil Asensio (Murcia)
ƒ O. Iyama (Himeji)
ƒ J. Okninski (Warsaw)
ƒ C. Santa-Clara (Lisboa)
ƒ J. Schroer (Leeds)
ƒ A. Tonolo (Padova)
Unfortunately, the main speaker W. Crawley-Boevey is unable to participate at the conference.
J. Schroer has very kindly agreed to be a plenary speaker in his place, at very short notice.

Schedule
Social Events
14/07/2003, 19.00 - Reception at the City Museum
The City Council invites all participants to a reception at the City Museum, next to the conference
venue. The Museum's gardens will be open from 18.00.
15/07/2003, 18.15 - Book Party
The bookshop Livraria Escolar Editora, across the road in Campo Grande, kindly invites all
participants to a Port wine reception.
16/07/2003, 13.00 - Sardinhada
Portuguese grilled sardines for lunch, on the lawn in front of the building C8.
18/07/2003, 20.30 - <strong>Conference</strong> Dinner
Dinner will take place at Restaurant Nobre, on the top floor (with a balcony overlooking the river)
of the shopping center Vasco da Gama, in Parque das Nações, site of Expo 98, close to the River
Tagus, in Lisbon.
19/07/2003, 09.00 - Full Day Excursion to Óbidos, Nazaré, Alcobaça
Departure from the conference venue; visit to Alcobaça and its Monastery; lunch (not included) in
Nazaré, by the sea; tour of the medieval village of Óbidos.

Monday, 14 th July
09.00-09.45 registration
09.45-10.30 Opening Address
10.30-11.15 coffee
11.15-12.05 M. Van den Bergh
12.15-12.50 J. Schroer
13.00-14.30 lunch
14.30-18.00 contributed talks
19.00 reception
09.45-10.30 Opening Address
Welcome Speech by Professor Augusto Barroso, Head of the Faculty of Sciences
Homage to Professor A. Almeida Costa, by Emeritus Professor F. R. Dias Agudo, member of the
Academy of Sciences of Lisbon
Morning Session - Chair Patrick F. Smith
11.15-12.05 Michel Van den Bergh Flops and derived equivalences
12.15-12.50 Jan Schröer A decomposition theory for irreducible components of module varieties
Contributed Talks
A B C D
14.30-14.50 A. Facchini A. B. Buan T. Gateva-Ivanova J. Cuadra
15.00-15.20 L. Angeleri Hügel R. Marsh D. Kussin F. Perera
15.30-15.50 E. Gregorio A. Hubery W. T. Lowen P. Vamos
16.00-16.30 coffee coffee coffee coffee
16.30-16.50 E.-A. Kaidi A. Holtmann S. B. Akinremi R. Raphael
17.00-17.20 F. Raggi M. Mahmoudi A. Retakh A. del Río
17.30-17.50 C. Lomp M. Ziman A. Williams P. Malcolmson
19.00 Reception at the City Museum
The City Council invites all participants to a reception at the City Museum, next to the conference
venue. The Museum's gardens will be open from 18.00.

Monday, 14 th July
Lecture Room A - Chair Barbara Osofsky
Module Theory:
14.30-14.50 Alberto Facchini Projective modules and divisor homomorphisms
15.00-15.20 Lidia Angeleri Hügel Tilting modules and Gorenstein rings
15.30-15.50 Enrico Gregorio Cotilting dualities
16.30-16.50 El-Amin Kaidi Weakly Noetherian or Artinian modules and rings
17.00-17.20 Federico Raggi Semiprime preradicals and semiprime modules
17.30-17.50 Christian Lomp Central closure for ring extensions with additional module structure
Lecture Room B - Chair Jan Schröer
Representation Theory of Algebras:
14.30-14.50 Aslak Bakke Buan Tilting in tubes
15.00-15.20 Robert Marsh Tilting modules and cluster algebras
15.30-15.50 Andrew Hubery Representations of a quiver with automorphism
16.30-16.50 Angela Holtmann The s-tame dimension vectors for stars
17.00-17.20 Mojgan Mahmoudi On Injectivity of Projection Algebras
17.30-17.50 Milos Ziman On local embeddability of groups and group algebras
Lecture Room C - Chair Michel Van den Bergh
Non-commutative Algebraic Geometry:
14.30-14.50 Tatiana Gateva-Ivanova Set-theoretic Solutions of the Yang-Baxter Equations
15.00-15.20 Dirk Kussin Projective coordinate algebras of exceptional curves
15.30-15.50 Wendy Tor Lowen Deformations of abelian categories
16.30-16.50 CANCELLED! Samuel Babatunde Akinremi Structure of null sets in the plane and some
applications of geometric measure theory
Representation Theory of Algebras:
17.00-17.20 Alexander Retakh Structure and representations of conformal algebras
17.30-17.50 Adrian Williams Does the Murphy subalgebra of the Hecke algebra have a Grobner-Shirshov basis?
Lecture Room D - Chair Pedro Guil Asensio
Ring Theory:
14.30-14.50 Juan Cuadra Torsion Classes and F-Noetherian Coalgebras
15.00-15.20 Francesc Perera The exchange property of Gromov's translation algebras
15.30-15.50 Peter Vamos The matrix type of rings
16.30-16.50 Robert Raphael On one-accessible regular algebras
17.00-17.20 Ángel del Río Groups of units of integral group rings of Kleinian type
17.30-17.50 Peter Malcolmson Expansions of prime ideals in noncommutative rings

Tuesday, 15 th July
09.00-09.50 T.-Y. Lam
10.00-10.50 O. Mathieu
11.00-11.30 coffee
11.30-12.05 I. Gordon
12.15-12.50 J. A. de la Pena
13.00-14.30 lunch
14.30-18.00 contributed talks
18.15 book party
Morning Session - Chair Daniel Simson
09.00-09.50 Tsit-Yuen Lam Corner Ring Theory: A Generalization of Peirce Decompositions
10.00-10.50 Olivier Mathieu Connection on stable bundle
11.30-12.05 Iain Gordon Rational Cherednik algebras and applications
12.15-12.50 José Antonio de la Peña Hochschild cohomology of algebras and epimorphisms
Contributed Talks
A B C D
14.30-14.50 Z. Arad G. Bobinski M. J. Arroyo Paniagua J. Zemlicka
15.00-15.20 F. U. Coelho Z. Leszczynski S. Crivei R. Hazrat
15.30-15.50 A. Fonseca T. Rashkova S. Estrada N. K. Iyudu
16.00-16.30 Coffee coffee coffee coffee
16.30-16.50 W. Chin M. T. Nogueira L. Marin R. Mazurek
17.00-17.20 G. D'Este S. L. Rueda T. G. Kucera H. Tsutsui
17.30-17.50 G. Zwara G. Carnovale L. Vas R. Reis
18.15 Book Party
The bookshop Livraria Escolar Editora, across the road in Campo Grande, kindly invites all
participants to a Port wine reception.

Tuesday, 15 th July
Lecture Room A - Chair Tsit-Yuen Lam
Representation Theory of Algebras:
14.30-14.50 Zvi Arad Classification of integral table algebras via a given subset of their algebra constants
15.00-15.20 Flávio Ulhoa Coelho Endomorphism algebras of projective modules over laura algebras
15.30-15.50 André Fonseca Ringel duality for Harish-Chandra modules
16.30-16.50 William Chin Local Theory of Almost Split Sequences for Comodules
17.00-17.20 Gabriella D'Este Tilting and cotilting-type modules
17.30-17.50 Grzegorz Zwara On the zero set of semi-invariants for quivers
Lecture Room B - Chair Olivier Mathieu
Representation Theory of Algebras:
14.30-14.50 Grzegorz Bobinski On simply connected generically finite algebras
15.00-15.20 Zbigniew Leszczynski Locally hereditary tame algebras
15.30-15.50 Tsetska Rashkova P.I. algebras with involution
16.30-16.50 M. Teresa Nogueira Radicals and socles of an algebra without identity
17.00-17.20 Sonia L. Rueda Finite dimensional representations of invariant differential operators
17.30-17.50 Giovanna Carnovale Quantized universal enveloping algebras at the roots of unity and spherical
conjugacy classes
Lecture Room C - Chair Iain Gordon
Module Theory:
14.30-14.50 María José Arroyo Paniagua Spectral Torsion Theories and a General Theory of Types
15.00-15.20 Septimiu Crivei On divisible modules with respect to a torsion theory
15.30-15.50 Sergio Estrada Torsion free covers of cotorsion modules
16.30-16.50 Leandro Marin Topologies and functors between categories of modules for nonunital rings
17.00-17.20 Thomas G. Kucera The shape of indecomposable injective modules over non-commutative
noetherian rings
17.30-17.50 Lia Vas Applying Torsion Theories to Finite von Neumann algebras
Lecture Room D - Chair José Antonio de la Peña
Ring Theory:
14.30-14.50 Jan Zemlicka Classes of modules over regular semiartinian rings
15.00-15.20 Roozbeh Hazrat Reduced K-theory for Azumaya algebras
15.30-15.50 Natalia K. Iyudu About Serre's conjecture in noncommutative case
16.30-16.50 Ryszard Mazurek Pseudo-chain rings and pseudo-uniserial modules
17.00-17.20 Hisa Tsutsui On rings with the same set of proper ideals
17.30-17.50 Raquel Reis On lattice-ordered commutative semigroups

Wednesday, 16 th July
09.00-09.50 B. L. Osofsky
10.00-10.50 M. Saorín
11.00-11.30 coffee
11.30-12.05 P. A. Guil Asensio
12.15-12.50 J. Okninski
13.00-14.30 sardinhada
Morning Session - Chair José Luis Gómez Pardo
09.00-09.50 Barbara L. Osofsky Quasideterminants and Roots of Polynomials over Division
Rings
10.00-10.50 Manuel Saorín Categorical invariance of automorphism groups of rings an algebras
11.30-12.05 Pedro A. Guil Asensio Left Cotorsion Rings
12.15-12.50 Jan Okninski Quadratic algebras of skew type
13.00 sardinhada
Portuguese grilled sardines for lunch, on the lawn in front of the building C8.

Thursday, 17 th July
09.00-09.50 L. Levy
10.00-10.50 J. Trlifaj
11.00-11.30 coffee
11.30-12.05 C. Santa-Clara
12.15-12.50 A. Tonolo
13.00-14.30 lunch
14.30-18.00 contributed talks
Morning Session - Chair Alberto Facchini
09.00-09.50 Lawrence Levy Representation type of Commutative Noetherian Rings
10.00-10.50 Jan Trlifaj Cotorsion pairs
11.30-12.05 Catarina Santa-Clara Goldie dimension applied to Linear Operator Theory
12.15-12.50 Alberto Tonolo Cotilting modules versus Canonical modules for Cohen-Macaulay
rings
Contributed Talks
A B C D
14.30-14.50 L. Fuchs F. Marko A. Fialowski M. Kures
15.00-15.20 F. Halter-Koch H. Albuquerque * Jan Adrianssens G. Garkusha
15.30-15.50 A. Bovdi A. P. Santana A. J. Calderón Martín R. Aehle
16.00-16.30 coffee coffee coffee coffee
16.30-16.50 N. A. Pham M. Kleiner M. Forero Piulestán K. Al-Takhman
17.00-17.20 P. Zanardo P. Lakatos J. C. Santos I. E. Wijayanti
17.30-17.50 M. Ursul E. Beneish T. Juhász L. Struengmann
* CHANGE

Thursday, 17 th July
Lecture Room A - Chair Lawrence Levy
Ring Theory:
14.30-14.50 Laszlo Fuchs Primal ideals in commutative rings without finiteness conditions
15.00-15.20 Franz Halter-Koch C-monoids and the multiplicative structure of integral domains
15.30-15.50 Adalbert Bovdi Applications of the group identities theory to the group of units
16.30-16.50 Pham Ngoc Ánh On a question of Mueller
17.00-17.20 Paolo Zanardo Intersections of powers of a principal ideal and primality
17.30-17.50 Mihail Ursul Structure theorems on countably compact rings
Lecture Room B - Chair Jan Trlifaj
Representation Theory of Algebras:
14.30-14.50 Frantisek Marko Schur superalgebras in characteristic p
15.00-15.20 Helena Albuquerque Quadratic Malcev superalgebras
15.30-15.50 Ana Paula Santana Some results on the classification of quasiassociative algebras
16.30-16.50 Mark Kleiner Abelian categories, almost split sequences, and comodules
17.00-17.20 Piroska Lakatos Zeros of Coxeter and reciprocal polynomials
17.30-17.50 Esther Beneish Lattice invariants, generic matrices and other rationality problems
Lecture Room C - Chair Manuel Saorín
Representation Theory of Algebras:
14.30-14.50 Alice Fialowski Deformations of three dimensional Lie algebras
15.00-15.20 Jan Adrianssens The modular group and quiver representations
replacing CANCELLED! Joerg Feldvoss The Jacobson radical of a Lie algebra
15.30-15.50 Antonio J. Calderón Martín On locally finite split Lie triple systems
16.30-16.50 Manuel Forero Piulestán On infinte dimensional Lie algebras
17.00-17.20 José Carlos Santos Homologically induced modules for Lie superalgebras
17.30-17.50 Tibor Juhász The derived length of Lie soluble group algebras
Lecture Room D - Chair Alberto Tonolo
Module Theory:
14.30-14.50 Miroslav Kures Weil modules
15.00-15.20 Grigory Garkusha Triangulated categories and the Ziegler spectrum
15.30-15.50 Klaus Robert Aehle Complexity of degenerations of modules
16.30-16.50 Khaled Al-Takhman Comatrix Corings
17.00-17.20 Indah Emilia Wijayanti Coprime Coalgebras and Dual Algebras
17.30-17.50 Lutz Struengmann Generalized E-rings

Friday, 18 th July
09.00-09.50 C. M. Ringel
10.00-10.50 S. Koenig
11.00-11.30 coffee
11.30-12.05 O. Iyama
12.15-12.50 P. Ara
13.00-14.30 lunch
14.30-16.30 contributed talks
16.30 coffee + closing
20.30 conference dinner
Morning Session - Chair Kent Fuller
09.00-09.50 Claus Michael Ringel Basic properties of the module category of an artin algebra
10.00-10.50 Steffen Koenig Comparing Schur algebras, upwards and downwards
11.30-12.05 Osamu Iyama Representation dimension of artin algebras
12.15-12.50 Pere Ara Finitely presented modules over Leavitt algebras
Contributed Talks
A B C D
14.30-14.50 Y. Drozd * V. Bovdi * A. Kaucikas V. O. Ferreira
15.00-15.20 D. M. Arnold D. A. Alb J. A. Dehaghi E. Aladova
15.30-15.50 A. Skowronski I. K. Redchuk M. Barry E. Kireeva
16.00-16.30 --- --- ** R. Zuazua ** J. Sánchez Serdà
16.30 coffee + closing coffee + closing coffee + closing coffee + closing
* CHANGE
** BROUGHT FORWARD
20.30 conference dinner
Dinner will take place at Restaurant Nobre, on the top floor (with a balcony overlooking the river)
of the shopping center Vasco da Gama, in Parque das Nações, site of Expo 98, close to the River
Tagus, in Lisbon.

Friday, 18 th July
Lecture Room A - Chair Steffen Koenig
Representation Theory of Algebras:
14.30-14.50 Yuriy Drozd Derived tame and wild algebras
15.00-15.20 David M. Arnold Endowild representation type and generic representations of finite posets
15.30-15.50 Andrzej Skowronski On Galois coverings of selfinjective algebras
16.30-16.50 CANCELLED! Constantin Nastasescu Splitting properties for rational modules
Lecture Room B - Chair Osamu Iyama
Representation Theory of Algebras:
14.30-14.50 Victor Bovdi Generalized crystallographic groups with indecomposable holonomy group
replacing CANCELLED! Valeriu Bordan Some classes of locally linearly compact generalized
bounded algebras
15.00-15.20 Daciana Alina Alb Some coreflective categories of topological modules
15.30-15.50 Igor K. Redchuk Generalization of function ρ and representations of quivers in Hilbert spaces
Module Theory:
16.30-16.50 CANCELLED! Dmitry Malinin On the existence of finite Galois stable groups
Lecture Room C - Chair Pere Ara
Ring Theory:
14.30-14.50 Algirdas Kaucikas Strongly prime rings, ideals and their applications
replacing CANCELLED! Jawad Y. Abuihlail A Note on Coproper Corings
15.00-15.20 Javad Asadollahi Dehaghi Homological dimensions of Modules over Commutative Noetheian rings
15.30-15.50 Mamadou Barry On the FGI-Rings
16.00-16.20 BROUGHT FORWARD! Rita Zuazua Standard Noether Normalizations of the Graph Subring
17.00-17.20 CANCELLED! Alexander Konovalov An algorithm for the embedding of the given p-group into the
normalised unit group of the modular group algebra of a finite p-group
Lecture Room D - Chair Jan Okninski
Ring Theory:
14.30-14.50 Vitor O. Ferreira Invariants of free algebras
15.00-15.20 Elena Aladova Identities in nil-algebras over a field of a prime characteristic
15.30-15.50 Elena Kireeva Some extremal varieties of associative algebras
16.00-16.20 BROUGHT FORWARD! Javier Sánchez Serdà On a theorem of Ian Hughes about division rings
of fractions
replacing CANCELLED! Lekbir Chakri Nonsingular zeros of quartic polynomials over finite fields