Results 11 to 20 of about 1,081,899 (283)

Slice regular semigroups [PDF]

open access: yesTransactions of the American Mathematical Society, 2016
In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space. It is an operatorial function which is slice regular (a noncommutative counterpart of analyticity) and which satisfies a noncommutative ...
R. Ghiloni, V. Recupero
semanticscholar   +6 more sources

Beyond regular semigroups [PDF]

open access: yesSemigroup Forum, 2016
As the author writes in the abstract ``The aim of this paper is to study weakly \(U\)-regular semigroups, a wide class containing all regular semigroups and all abundant semigroups with a regular biordered set of idempotents. Here, \(U\) is a regular biordered set.'' (A notion of ``a regular biordered set'' was introduced in [\textit{K. S.
Yanhui Wang
semanticscholar   +3 more sources

Left (Right) Regular and Transposition Regular Semigroups and Their Structures

open access: yesMathematics, 2022
Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
doaj   +1 more source

Domination of semigroups generated by regular forms [PDF]

open access: yes, 2021
We give a representation for regular forms associated with dominated $C_0$-semigroups which, in turn, characterises domination of $C_0$-semigroups associated with regular forms.
Sahiba Arora, R. Chill, J. Djida
semanticscholar   +1 more source

An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups

open access: yesBulletin of the Section of Logic, 2022
The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant ...
Pairote Yiarayong
doaj   +1 more source

Structure theory of regular semigroups [PDF]

open access: yesSemigroup Forum, 2019
This survey aims to give an overview of several substantial developments of the last 50 years in the structure theory of regular semigroups and to shed light on their impact on other parts of semigroup theory.
M. Szendrei
semanticscholar   +1 more source

New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]

open access: yesMatrix Science Mathematic, 2017
Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan   +3 more
doaj   +1 more source

Inductive groupoids and cross-connections of regular semigroups [PDF]

open access: yesActa Mathematica Hungarica, 2018
There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from the biordered set structure of a given regular semigroup.
P. A. A. Muhammed, Mikhail Volkov
semanticscholar   +1 more source

Epimorphisms, Dominions, and Various Classes of Saturated Semigroups

open access: yesJournal of Mathematics, 2022
In this paper, we discussed some saturated classes of ℋ-commutative semigroups, left (right) regular semigroups, medial semigroups, and paramedial semigroups. The results of this paper significantly extend the long standing result about normal bands that
N. Alam   +4 more
doaj   +1 more source

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