On finiteness conditions for Rees matrix semigroups
CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.55, sa.2, ss.455-463, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 2
- Basım Tarihi: 2005
- Doi Numarası: 10.1007/s10587-005-0035-8
- Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.455-463
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Çukurova Üniversitesi Adresli: Evet
Özet
Let T = M[S; I, J; P] be a Rees matrix semigroup where S is a semigroup, I and J are index sets, and P is a J x I matrix with entries from S, and let U be the ideal generated by all the entries of P. If U has finite index in S, then we prove that T is periodic (locally finite) if and only if S is periodic (locally finite). Moreover, residual finiteness and having solvable word problem are investigated.