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

OĞUZ ÜNAL, SEDA; Karpuz, Bylern

doi:10.1142/s1793557115500758

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, sa.4, 2015 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 8 Sayı: 4
Basım Tarihi: 2015
Doi Numarası: 10.1142/s1793557115500758
Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Sivas Cumhuriyet Üniversitesi Adresli: Evet

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.