Results 31 to 40 of about 24,361 (205)

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

On a problem of M. Kambites regarding abundant semigroups [PDF]

open access: yes, 2011
A semigroup is regular if it contains at least one idempotent in each -class and in each L-class. A regular semigroup is inverse if it satisfies either of the following equivalent conditions: (i) there is a unique idempotent in each -class and in each L ...
Araújo, João, Kinyon, Michael
core   +2 more sources

Γ-group congruences on regular Γ-semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
In this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.
A. Seth
doaj   +1 more source

On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups

open access: yesOpen Mathematics, 2020
In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
doaj   +1 more source

Adjoint regular rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
doaj   +1 more source

Valuation Semigroups of Two Dimensional Local Rings

open access: yes, 2014
We consider the question of when a semigroup is the semigroup of a valuation dominating a two dimensional noetherian local domain, giving some surprising examples.
Cutkosky, Steven Dale, Vinh, Pham An
core   +1 more source

Slice regular semigroups [PDF]

open access: yesTransactions of the American Mathematical Society, 2018
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 semigroup law characterizing the exponential function in an infinite dimensional noncommutative setting.
Ghiloni, Riccardo, Recupero, Vincenzo
openaire   +4 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

Variants of finite full transformation semigroups

open access: yes, 2015
The variant of a semigroup S with respect to an element a in S, denoted S^a, is the semigroup with underlying set S and operation * defined by x*y=xay for x,y in S.
Dolinka, Igor, East, James
core   +1 more source

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