Left (right) C-semigroups are the regular semigroups satisfying the following condition:eSSe (SeeS) for every e∈E (the set of idempotents of S). Refs. [1, 2] give the left(right) semi-spined product structure and the...Left (right) C-semigroups are the regular semigroups satisfying the following condition:eSSe (SeeS) for every e∈E (the set of idempotents of S). Refs. [1, 2] give the left(right) semi-spined product structure and the left (right) △-product structure of a left(right) C-semigroup, respectively. It is easy to see that the above condition defining a reg-ular semigroup S to be a left (right) C-semigroup may be replaced by the following condi-tion:展开更多
Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only...Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only if S is the strong semilattice of L-right cancellative planks; also if and only if S is a spined product of a right-e wlpp semigroup and a left normal band.展开更多
In this paper, we explore the refined semilattice of left C-wrpp semigroups, and show that a left C-wrpp semigroup S is a refined semilattice of left-R cancellative stripes if and only if it is a spined product of a C...In this paper, we explore the refined semilattice of left C-wrpp semigroups, and show that a left C-wrpp semigroup S is a refined semilattice of left-R cancellative stripes if and only if it is a spined product of a C-wrpp component and a left regular band. It is a generalization of the refined semilattice decomposition of left C-rpp semigroups.展开更多
As generalization of Clifford semigroups, left Clifford semigroups are defined and ξ-products for such semigroups and their semilattice decompositions are studied. In particular, considering how a semilattice decompo...As generalization of Clifford semigroups, left Clifford semigroups are defined and ξ-products for such semigroups and their semilattice decompositions are studied. In particular, considering how a semilattice decomposition becomes a strong semilattice decomposition and ξ-product becomes spined product, some structure theorems and characteristics for this class of semigroups are obtained.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘Left (right) C-semigroups are the regular semigroups satisfying the following condition:eSSe (SeeS) for every e∈E (the set of idempotents of S). Refs. [1, 2] give the left(right) semi-spined product structure and the left (right) △-product structure of a left(right) C-semigroup, respectively. It is easy to see that the above condition defining a reg-ular semigroup S to be a left (right) C-semigroup may be replaced by the following condi-tion:
基金The NSF(11471255)of Chinathe Scientific Research Project(15JK1411)of Education Department of Shaanxi Provincial Governmentthe Scientific Research Project(17KY02)of College
文摘Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S, if and only if S is the strong semilattice of L-right cancellative planks; also if and only if S is a spined product of a right-e wlpp semigroup and a left normal band.
基金the Natural Science Foundation of Huizhou University （No. C207.0202）.
文摘In this paper, we explore the refined semilattice of left C-wrpp semigroups, and show that a left C-wrpp semigroup S is a refined semilattice of left-R cancellative stripes if and only if it is a spined product of a C-wrpp component and a left regular band. It is a generalization of the refined semilattice decomposition of left C-rpp semigroups.
基金Proiect supported by the National Natural science Founnation of China
文摘As generalization of Clifford semigroups, left Clifford semigroups are defined and ξ-products for such semigroups and their semilattice decompositions are studied. In particular, considering how a semilattice decomposition becomes a strong semilattice decomposition and ξ-product becomes spined product, some structure theorems and characteristics for this class of semigroups are obtained.
