Results 41 to 50 of about 1,661 (220)

Partial orders in regular semigroups [PDF]

open access: yesProyecciones (Antofagasta), 2011
First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely regular semigroup S ⊆  N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N .
Srinivas, K. V. R, Anasuya, Y. L
openaire   +2 more sources

𝒩-Fuzzy Ideals in Ordered Semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
We introduce the concept of 𝒩-fuzzy left (right) ideals in ordered semigroups and characterize ordered semigroups in terms of 𝒩-fuzzy left (right) ideals. We characterize left regular (right regular) and left simple (right simple) ordered
Asghar Khan   +2 more
doaj   +1 more source

Algebras of right ample semigroups

open access: yesOpen Mathematics, 2018
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

On regularity preservation in a semigroup [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2004
We consider certain subsets of a semigroupS, defined mainly by conditions involving regularity preservation. In particular, theregular baseB(S) ofSmay be regarded as a generalisation of the zero ideal in a semigroup with zero; if it non-empty thenSisE-inversive. The other subsets considered are related in a natural way either to B(S) or to the set RP(S)
openaire   +1 more source

Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence

open access: yesMathematics, 2021
In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
doaj   +1 more source

The Relationship between E-Semigroups and R-Semigroups

open access: yesJournal of Mathematics, 2023
A semigroup is called an E-semigroup (R-semigroup) if the set of all idempotents (the set of all regular elements) forms a subsemigroup. In this paper, we introduce the concept of V-semigroups and establish the relationship between the three classes of ...
Ze Gu
doaj   +1 more source

Quasi-ideal transversals of abundant semigroups and spined products

open access: yes, 2010
We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups ...
Renshaw, James   +3 more
core   +1 more source

Self-injectivity of semigroup algebras

open access: yesOpen Mathematics, 2020
It is proved that for an IC abundant semigroup (a primitive abundant semigroup; a primitively semisimple semigroup) S and a field K, if K 0[S] is right (left) self-injective, then S is a finite regular semigroup.
Guo Junying, Guo Xiaojiang
doaj   +1 more source

On maximal subgroups of free idempotent generated semigroups

open access: yes, 2011
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Ruskuc, N.   +5 more
core   +1 more source

Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point [PDF]

open access: yesMatrix Science Mathematic, 2017
Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup.
Hidayat Ullah Khan   +3 more
doaj   +1 more source

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