CURRICULUM VITAE - Department of Mathematics and Statistics ...
CURRICULUM VITAE - Department of Mathematics and Statistics ...
CURRICULUM VITAE - Department of Mathematics and Statistics ...
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June 30, 2012 7<br />
12. PAPERS IN REFEREED JOURNALS:<br />
ACCEPTED:<br />
M. R. Bremner, S. Madariaga, 2012. Polynomial Identities for Tangent Algebras <strong>of</strong> Monoassociative<br />
Loops. Communications in Algebra, 22 pages (preprint). (Accepted for publication, May 1, 2012)<br />
M. R. Bremner, J. Hu, 2012. The Fundamental Invariants fo 3 X 3 X 3 Arrays. <strong>Mathematics</strong> <strong>of</strong><br />
Computation, 18 pages (preprint). (Accepted for publication, April 24, 2012).<br />
M. R. Bremner, <strong>and</strong> J.-X. Hu, 2011. Lie invariants in two <strong>and</strong> three variables. Algebra Colloquium,<br />
(accepted for publication, 27 January 2011, 21 pages).<br />
PUBLISHED:<br />
M. R. Bremner, L. A. Peresi, J. Sanchez-Ortega, 2012. Malcev Dialgebras. Linear <strong>and</strong> Multilinear<br />
Algebra, http://www.t<strong>and</strong>fonline.com/doi/abs/10.1080/03081087.2011.651721, 17 pages,<br />
published online January 16, 2012.<br />
M. R. Bremner, 2011. A Hyperdeterminant for 2 X 2 X 3 Arrays. Linear <strong>and</strong> Multilinear Algebra,<br />
http://www.t<strong>and</strong>fonline.com/doi/abs/10.1080/03081087.2011.634412, 12 pages, published online<br />
November 25, 2011.<br />
M. R. Bremner, A. Douglas, 2012. The Simple Non-Lie Malcev Algebra as a Lie-Yamaguti Algebra.<br />
Journal <strong>of</strong> Algebra, 358: 269-291.<br />
M. R. Bremner, M. G. Bickis, M. Soltanifar, 2012. Cayley's Hyperdeterminant: A Combinatorial<br />
Approach Via Representation Theory. Linear Algebra <strong>and</strong> its Applications, 437: 94-112.<br />
H. A. Elgendy <strong>and</strong> M. R. Bremner, 2012. Universal associative envelopes <strong>of</strong> (n+1)-dimensional n-Lie<br />
algebras. Communications in Algebra, 40, 1827-1842.<br />
Marina V. Tvalavadze <strong>and</strong> M. R. Bremner, 2011. Enveloping algebras <strong>of</strong> solvable Malcev algebras <strong>of</strong><br />
dimension five. Communications in Algebra, 39, 2816-2837.<br />
M. R. Bremner, R. Felipe, J. Sanchez-Ortega, 2011. Jordan Triple Disystems. Computers <strong>and</strong><br />
<strong>Mathematics</strong> with Applications, 63: 1039-1055.<br />
M. R. Bremner, 2011. How to compute the Wedderburn decomposition <strong>of</strong> a finite-dimensional<br />
associative algebra. Groups, Complexity <strong>and</strong> Cryptology: 3, 3 (2011) 47-66.<br />
M.R. Bremner, 2011. Polynomial identities for ternary intermolecular recombination. Discrete <strong>and</strong><br />
Continuous Dynamical Systems (Series S), 4: 6, 1387-1399.<br />
M.R. Bremner <strong>and</strong> Luiz A. Peresi, 2011. Special identities for quasi-Jordan algebras.<br />
Communications in Algebra, 39: 7, 2313-2337.<br />
M. R. Bremner <strong>and</strong> J. Sanchez-Ortega, 2010. The partially alternating ternary sum in an associative<br />
dialgebra. Journal <strong>of</strong> Physics A: Mathematical <strong>and</strong> Theoretical, 43, 455215, (18 pages).<br />
M.R. Bremner <strong>and</strong> Hader A. Elgendy, 2010. Alternating quaternary algebra structures on irreducible<br />
representations <strong>of</strong> sl (2,C). Linear Algebra <strong>and</strong> its Applications, 433: 8-10, 1686-1705.<br />
M.R. Bremner, 2010. On the definition <strong>of</strong> quasi-Jordan algebra. Communications in Algebra, 38: 12,<br />
4695-4704.<br />
BREMNER , Murray Ronald
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