On finiteness conditions for Rees matrix semigroups


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Ayik H.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.55, ss.455-463, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55 Konu: 2
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10587-005-0035-8
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.455-463

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.