Generators and relations of Rees matrix semigroups


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Ayik H. , RUSKUC N.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.42, ss.481-495, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1017/s0013091500020472
  • Dergi Adı: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
  • Sayfa Sayısı: ss.481-495

Özet

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.