Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly *-extensions of monoids


OĞUZ ÜNAL S. , Karpuz B. G.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.8, 2015 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 8 Konu: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s1793557115500758
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS

Özet

In this paper, we determine necessary and sufficient conditions for Bruck-Reilly and generalized Bruck-Reilly *-extensions of monoids to be unit regular, completely regular and orthodox. In addition, we characterize the congruences on generalized Bruck-Reilly *-extension of a monoid.