ALAN JAMES CAIN - Centre for Interdisciplinary Research in ...

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LAN . AIN ..[CM09d] ‘Decision problems for finitely presented and one-relation semigroups andmonoids’[with V. Maltcev]International Journal of Algebra and Computation, 19, no. 6 (2009), pp.747–770.DOI: 10.1142/s0218196709005366. MR: 2572873. ZBL: 1201.20055.[C09e] ‘Monoids presented by rewriting systems and automatic structures for theirsubmonoids’International Journal of Algebra and Computation, 19, no. 6 (2009), pp.771–790.DOI: 10.1142/s0218196709005317. MR: 2572874. ZBL: 1201.20054.[C10a] ‘Automatic semigroups and Bruck–Reilly extensions’Acta Mathematica Hungarica, 126, no. 1–2 (2010), pp. 1–15.DOI: 10.1007/s10474-009-8063-8. MR: 2593314.[CORT10b] ‘Automatic presentations and semigroup constructions’[with G. Oliver, N. Ruškuc & R. M. omas]eory of Computing Systems, 47, no. 2 (2010), pp. 568–592.DOI: 10.1007/s00224-009-9216-4. MR: 2652030. ZBL: 1204.68118.[C10c] ‘Deus ex machina and the aesthetics of proof’Mathematical Intelligencer, 32, no. 3 (September 2010), pp. 7–11.DOI: 10.1007/s00283-010-9141-z. MR: 2721302. ZBL: 1247.00009.[C10d] An annotated translation of Yves Marie André’s Essay on Beauty (1741)(Ebook, 2010).[CRT12a] ‘Unary FA-presentable semigroups’[with N. Ruškuc & R. M. omas]International Journal of Algebra and Computation, 22, no. 4 (2012).DOI: 10.1142/S0218196712500385. MR: 2946303. ZBL: 06092676.[CGR12b] ‘Green index in semigroup theory: generators, presentations, and automaticstructures’[with R. Gray & N. Ruškuc]Semigroup Forum, 85, no. 3 (2012), pp. 448–476.DOI: 10.1007/s00233-012-9406-2. MR: 3001595. ZBL: 06141003.[CM12c] ‘Context-free rewriting systems and word-hyperbolic structures with uniqueness’[with V. Maltcev]International Journal of Algebra and Computation, 22, no. 7 (2012).DOI: 10.1142/S0218196712500610. MR: 2999367. ZBL: 06126196.[CM13a] ‘Monoids Mon⟨a, b ∣ a α b β a γ b δ a ε b φ = b⟩ admit finite complete rewriting systems’[with V. Maltcev]Technical report. Febuary 2013.arXiv: 1302.2819.[C13b] ‘Hyperbolicity of monoids presented by confluent monadic rewriting systems’Beiträge zur Algebra und Geometrie, 54, no. 2 (October 2013), pp. 593–608.DOI: 10.1007/s13366-012-0116-4.[CGMxxa] ‘Finite Gröbner–Shirshov bases for Plactic algebras and biautomatic structures forPlactic monoids’[with R. Gray & A. Malheiro]Algebra & Number eory, Forthcoming.arXiv: 1205.4885.6
LAN . AIN ..[CMxxb] ‘Finitely presented monoids with linear Dehn function need not have regularcross-sections’[with V. Maltcev]Semigroup Forum, Forthcoming.DOI: 10.1007/s00233-013-9531-6.[CRxxc] ‘Subalgebras of FA-presentable algebras’[with N. Ruškuc]Algebra Universalis, Forthcoming.arXiv: 1206.5548.[CMxxd] ‘Hopfian and co-hopfian subsemigroups and extensions’[with V. Maltcev]Demonstratio Mathematica, Forthcoming.arXiv: 1305.6176.[CMxxe] ‘Markov semigroups, monoids, and groups’[with V. Maltcev]Submitted. arXiv: 1202.3013.[CMxxf] ‘Monoids Mon⟨a, b ∣ a α b β a γ b δ = b⟩ admit finite complete rewriting systems’[with V. Maltcev]Submitted. arXiv: 1302.0982.[CRxxg] ‘Unary FA-presentable binary relations: transitivity and classification results’[with N. Ruškuc]Submitted. arXiv: 1303.0214.[Cxxh] ‘Decision problems for word-hyperbolic semigroups’Submitted. arXiv: 1303.1763.[AKCMUxxi] ‘A countable family of congruence-free finitely presented monoids’[with F. Al-Kharousi, V. Maltcev & A. Umar]Submitted. arXiv: 1304.4687.[CMxxj] ‘A simple non-bisimple congruence-free finitely presented monoid’[with V. Maltcev]Submitted. arXiv: 1307.6580.[CMxxk] ‘For a few elements more: A survey of finite Rees index’[with V. Maltcev]Submitted. arXiv: 1307.8259.[BCxxl] ‘Automaton semigroup constructions’[with T. Brough]Submitted. arXiv: 1310.4852.[CGMxxm] ‘Rewriting systems and biautomatic structures for Chinese, hypoplactic, andSylvester monoids’[with R. Gray & A. Malheiro]Submitted. arXiv: 1310.6572.[CMxxn] ‘Growths of endomorphisms of finitely generated semigroups’[with V. Maltcev]Submitted.NVITED SEMINARS AND CONFERENCE TALKS‘Malcev presentations for subsemigroups of groups’Invited seminar: University of Glasgow, 13th October 2004.7
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