Abstract
In this paper we consider finite generation and finite presentability of Rees matrix semigroups (with or without zero) over arbitrary semigroups. The main result states that a Rees matrix semigroup M[S; I, J; P] is finitely generated (respectively, finitely presented) if and only if S is finitely generated (respectively, finitely presented), and the sets I, J and S\U are finite, where U is the ideal of S generated by the entries of P.
Publisher
Cambridge University Press (CUP)
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On special Rees matrix semigroups over semigroups;Commentationes Mathematicae Universitatis Carolinae;2024-03-19
2. A new semigroup obtained via known ones;Asian-European Journal of Mathematics;2019-10-14
3. SEMIGROUP PRESENTATIONS FOR CONGRUENCES ON GROUPS;Bulletin of the Korean Mathematical Society;2013-03-31
4. Semigroups with a Context-Free Word Problem;Developments in Language Theory;2012
5. On Finite Complete Presentations and Exact Decompositions of Semigroups;Communications in Algebra;2011-10