Results 31 to 40 of about 284 (184)
Commutative semigroup cohomology
Let \(S\) be a commutative semigroup. A Beck extension of \(S\) by an abelian group object \(A\) of a (comma) category \(\mathfrak L\) consists of a commutative semigroup \(C=(C,q)\) over \(S\), with \(q\) surjective, and for each \(T\in{\mathfrak L}\) a simply transitive abelian group action of \(\hbox{Hom}_{\mathfrak L}(T,A)\) on the set \(\hbox{Hom ...
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Cubic Of Positive Implicative Ideals In KU- Semigroup
In this paper, we define a cubic positive implicative-ideal, a cubic implicative-ideal and a cubic commutative-ideal of a semigroup in KU-algebra as a generalization of a fuzzy (positive implicative-ideal, an implicative-ideal and a commutative-ideal ...
Fatema. F. Kareem +2 more
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Finite AG-groupoid with left identity and left zero
A groupoid G whose elements satisfy the left invertive law: (ab)c=(cb)a is known as Abel-Grassman's groupoid (AG-groupoid). It is a nonassociative algebraic structure midway between a groupoid and a commutative semigroup.
Qaiser Mushtaq, M. S. Kamran
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On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
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Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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
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Unification in Commutative Semigroups
Let \(V\) be a variety of algebras and \(X\) a fixed set of variables. Every function \(\sigma\) assigning \(V\)-terms to variables is called a substitution. If \(p\) is a term and \(\sigma\) is a substitution, the term \(\sigma(p)\) is defined in the usual way. Let \(\Sigma\) be a finite set of equations over \(V\).
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Superextensions of cyclic semigroups
Given a cyclic semigroup $S$ we study right and left zeros, singleton left ideals, the minimal ideal, left cancelable and right cancelable elements of superextensions $\lambda(S)$ and characterize cyclic semigroups whose superextensions are commutative.
V.M. Gavrylkiv
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On the theories classified by an étendue
Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
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Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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