[PDF][PDF] Regularity of semigroups in terms of hybrid ideals and hybrid bi-ideals

B Elavarasan, YB Jun - Kragujevac Journal of Mathematics, 2022 - imi.pmf.kg.ac.rs
In this paper, we establish some equivalent conditions for a semigroup to be regular and
intra-regular, in terms of hybrid ideals and hybrid bi-ideals. We also characterize the left and …

Regularity of subsemigroups generated by ordered idempotents

K Hansda - Quasigroups and Related Systems, 2014 - ibn.idsi.md
An element e of an ordered semigroup S is called an ordered idempotent if e 6 e2. If we
consider a subsemigroup S0 of an ordered semigroup S as an ordered semigroup then the …

[PDF][PDF] Left regular and right regular elements of semigroups of 1-1 transformations and 1-1 linear Transformations

N Sirasuntorn, Y Kemprasit - International Journal of Algebra, 2010 - m-hikari.com
An element x of a semigroup S is said to be left [right] regular if x= yx2 [x= x2y] for some y∈
S, or equivalently, xLx2[xRx2]. In this paper, we characterize the left regular and right regular …

Semilatice Decompositions of Semigroups. Hereditariness and Periodicity—An Overview

M Mitrović, S Silvestrov - … on Stochastic Processes and Algebraic Structures, 2017 - Springer
A semigroup is an algebraic structure consisting of a set with an associative binary operation
defined on it. We can say that most of the work within theory is done on semigroups with a …

[PDF][PDF] The set of regular elements in ordered semigroups

N Kehayopulu, M Tsingelis - Math. Japon, 2010 - jams.or.jp
For a semigroup or an ordered semigroup S, we denote by Reg (S), LReg (S), Gr (S) the set
of regular, left regular, completely regular elements of S respectively, and for a …

[PDF][PDF] ON SOME REGULAR SUBSEMIGROUPS OF SEMIGROUPS

N Kehayopulu, M Tsingelis - Scientiae Mathematicae Japonicae, 2010 - jams.or.jp
For a subsemigroup T of a semigroup S, Reg (T) denotes the set of regular elements of T,
LReg (T) the set of left regular elements of T and reg (T) the set of elements of T which are …

[引用][C] 与理想有关的正则集合

毛娟, 刘振玲, 许四军 - 科学技术与工程, 2007