Generators and relations of Rees matrix semigroups

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18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)481-495
Number of pages15
JournalProceedings of the Edinburgh Mathematical Society
Issue number3
Publication statusPublished - Oct 1999




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