Results 51 to 60 of about 4,480 (224)
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
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
doaj
The diagonal dimension of sub‐C∗$\mathrm{C}^*$‐algebras
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C∗$\text{sub-}\mathrm{C}^*$‐algebras (sometimes also referred to as diagonal C∗$\mathrm{C}^*$‐pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension.
Kang Li +2 more
wiley +1 more source
Topological fundamental groupoid. I
, 2023 We show that the fundamental groupoid~\(\Pi_1(X)\) of a locally path connected semilocally simply connected space~\(X\) can be equipped with a \emph{natural} topology so that it becomes a topological groupoid; we also justify the necessity and minimality
Holkar, Rohit Dilip, Hossain, Md Amir
core
On analytic groupoid cardinality [PDF]
, 2022 Groupoids graded by the groupoid of bijections between finite sets admit generating functions which encode the groupoid cardinalities of their graded components.
Fullwood, James
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Applications of AG-Groupoids in Decision-Making via Linear Diophantine Fuzzy Sets
Discrete Dynamics in Nature and Society, 2023 In this paper, we investigated the notion of a linear Diophantine fuzzy set (LDFS) by using the concept of a score function to build the LDF-score left (right) ideals and LDF-score (0,2)-ideals in an AG-groupoid.
Faisal Yousafzai +4 more
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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
doaj +1 more source
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Monoid and Topological Groupoid
, 2018 <p>Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid <span
Mohammad Qasim Mann'a
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