Skip to content

Research at St Andrews

Cancellative and Malcev presentations for finite Rees index subsemigroups and extensions

Research output: Contribution to journalArticle

Abstract

It is known that, for semigroups, the property of admitting a finite presentation is preserved on passing to subsemigroups and extensions of finite Rees index. The present paper shows that the same holds true for Malcev, cancellative, left-cancellative and right-cancellative presentations. (A Malcev (respectively, cancellative, left-cancellative, right-cancellative) presentation is a presentation of a special type that can be used to define any group-embeddable (respectively, cancellative, left-cancellative, right-cancellative) semigroup.).

Close

Details

Original languageEnglish
Pages (from-to)39-61
Number of pages23
JournalJournal of the Australian Mathematical Society
Volume84
Issue number1
DOIs
Publication statusPublished - Feb 2008

    Research areas

  • Maclev presentation, Cancellative, Subsemigroup, Finite index, Rewriting

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. Subsemigroups of groups: presentations, Malcev presentations, and automatic structures

    Cain, AJ., Robertson, E. F. & Ruskuc, N., May 2006, In : Journal of Group Theory. 9, 3, p. 397-426 30 p.

    Research output: Contribution to journalArticle

  2. Finite generation and presentability of wreath products of monoids

    Robertson, E. F., Ruskuc, N. & Thomson, MR., 15 Aug 2003, In : Journal of Algebra. 266, 2, p. 382-392 11 p.

    Research output: Contribution to journalArticle

  3. Automatic completely-simple semigroups

    Campbell, C. M., Robertson, E. F., Ruskuc, N. & Thomas, R. M., May 2002, In : Acta Mathematica Hungarica. 95, 3, p. 201-215 15 p.

    Research output: Contribution to journalArticle

  4. Computing transformation semigroups

    Linton, S. A., Pfeiffer, G., Robertson, E. F. & Ruskuc, N., Feb 2002, In : Journal of Symbolic Computation. 33, 2, p. 145-162 18 p.

    Research output: Contribution to journalArticle

Related by journal

  1. On the number of subsemigroups of direct products involving the free monogenic semigroup

    Clayton, A. & Ruskuc, N., 1 Feb 2019, In : Journal of the Australian Mathematical Society. First View, 12 p.

    Research output: Contribution to journalArticle

  2. L.G. Kovács and linear groups

    Detinko, A. S. & Flannery, D. L., Feb 2017, In : Journal of the Australian Mathematical Society. 102, 1, p. 55-62

    Research output: Contribution to journalArticle

  3. On the generating graph of a simple group

    Lucchini, A., Maroti, A. & Roney-Dougal, C. M., Aug 2017, In : Journal of the Australian Mathematical Society. 103, 1, p. 91-103

    Research output: Contribution to journalArticle

  4. Presentations of inverse semigroups, their kernels and extensions

    Carvalho, C. A., Gray, R. & Ruskuc, N., 1 Jun 2011, In : Journal of the Australian Mathematical Society. 90, 3, p. 289-316

    Research output: Contribution to journalArticle

  5. Growth of generating sets for direct powers of classical algebraic structures

    Quick, M. & Ruskuc, N., Aug 2010, In : Journal of the Australian Mathematical Society. 89, 1, p. 105-126 22 p.

    Research output: Contribution to journalArticle

ID: 600313

Top