Let S = fa; b; c; : : : g and = f ; ; ; : : : g be two nonempty sets. S is called a -semigroup if a b 2 S, for all 2 and a; b 2 S and (a b) c = a (b c), for all a; b; c 2 S and for all ; 2 . An element e 2 S is said to be -idempotent for some 2 if e e = e. A - semigroup S is called regular -semigroup if each element of S is regular i.e, for each a 2 S there exists an element x 2 S and there exist ; 2 such that a = a x a. A regular -semigroup S is called a right inverse -semigroup if for any - idempotent e and -idempotent f of S, e f e = f e. In this paper we introduce ip - congruence on regular -semigroup and ip - congruence pair on right inverse -semigroup and investigate some results relating this pair.
left partial congruence ip - congruence normal subsemigroup ip - congruence pair
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 1 Ekim 2015 |
Gönderilme Tarihi | 10 Temmuz 2014 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 3 Sayı: 2 |