Generators and relations of Rees matrix semigroups

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Atıf İçin Kopyala

Ayik H., RUSKUC N.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.42, ss.481-495, 1999 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42
• Basım Tarihi: 1999
• Doi Numarası: 10.1017/s0013091500020472
• Dergi Adı: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.481-495
• Çukurova Üniversitesi Adresli: Evet

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.