Generators and relations of Rees matrix semigroups
Hayrullah Ayık, Nik Ruškuc · Proceedings of the Edinburgh Mathematical Society · 1999
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 semigroupM[S; I, J; P]is finitely generated (respectively, finitely presented) if and only ifSis finitely generated (respectively, finitely presented), and the setsI, J and S\Uare finite, whereUis the ideal ofSgenerated by the entries ofP.