Results 31 to 40 of about 4,561 (232)
Abel-Grassmann's Groupoids of Modulo Matrices [PDF]
Mehran University Research Journal of Engineering and Technology, 2016 The binary operation of usual addition is associative in all matrices over R. However, a binary operation of addition in matrices over Z n of a nonassociative structures of AG-groupoids and AG-groups are defined and investigated here.
Muhammad Rashad, Amanullah, Imtiaz Ahmed
doaj
, 2010 The main purpose of this paper is to study the vector groupoids. This is an algebraic structure which combines the concepts of Brandt groupoid and vector space such that these are compatible.
Popuţa, Vasile, Ivan, Gheorghe
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Canonical biassociative groupoids [PDF]
Publications de l'Institut Mathematique, 2007 In the paper Free biassociative groupoids, the variety of biassociative groupoids (i.e., groupoids satisfying the condition: every subgroupoid generated by at most two elements is a subsemigroup) is considered and free objects are constructed using a chain of partial biassociative groupoids that satisfy certain properties.
Janeva, Biljana +2 more
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Assembly of constructible factorization algebras
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson +2 more
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On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
Revista Matemática IberoamericanaIn this paper, we establish the principal bundle counterpart of the well-known and widely applied notion of vector bundle groupoid (VB-groupoid). In particular, we provide a general notion of principal bundle groupoid (PB-groupoid) as a diagram of Lie groupoids and principal bundles, together with the action of a (strict) Lie
Francesco Cattafi, Alfonso Garmendia
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On the local Kan structure and differentiation of simplicial manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
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Cancellative Elements in Finite AG-groupoids
Journal of New Theory, 2020 An Abel-Grassmann's groupoid (briey AG-groupoid) is a groupoid Ssatisfying the left invertive law: (xy)z = (zy)x for all x, y, z \in S. In the present paper, wediscuss the left and right cancellative property of elements of the nite AG-groupoidS.
Muhammad Uzair Khan +2 more
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Noetherian and Artinian ordered groupoids—semigroups
International Journal of Mathematics and Mathematical Sciences, 2005 Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
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Schroder T-quasigroups of generalized associativity
Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023 We prolong research of Schroder quasigroups and Schr ¨ oder T-quasigroups ¨ [14].
Victor Shcherbacov
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