Results 41 to 50 of about 4,480 (224)
Communications in Mathematical Physics, 2001 We introduce a general notion of quantum universal enveloping algebroids (QUE algebroids), or quantum groupoids, as a unification of quantum groups and star-products. Some basic properties are studied including the twist construction and the classical limits.
openaire +3 more sources
Topological Groupoid Quantales [PDF]
, 2010 We associate a canonical unital involutive quantale to a topological groupoid. When the groupoid is also étale, this association is compatible with but independent from the theory of localic étale groupoids and their quantales [9] of P. Resende.
Re, R. +3 more
core +1 more source
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
THE ÉTALE GROUPOID OF AN INVERSE SEMIGROUP AS A GROUPOID OF FILTERS [PDF]
Journal of the Australian Mathematical Society, 2013 AbstractPaterson showed how to construct an étale groupoid from an inverse semigroup using ideas from functional analysis. This construction was later simplified by Lenz. We show that Lenz’s construction can itself be further simplified by using filters: the topological groupoid associated with an inverse semigroup is precisely a groupoid of filters ...
Lawson, M. V. +2 more
openaire +2 more sources
Discrete homotopy hypothesis for n$n$‐types
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley +1 more source
Non‐Geometric T‐Duality as Higher Groupoid Bundles With Connections
Fortschritte der Physik, Volume 74, Issue 10, October 2026.This paper describes T‐duality between geometric and non‐geometric backgrounds using spans of higher groupoid bundles with adjusted connections. This framework incorporates explicit metric formulas, scalar fields, and Q$Q$‐fluxes. The resulting model reproduces key literature examples while maintaining covariance under the full T‐duality group O(n,n;Z)$
Hyungrok Kim, Christian Saemann
wiley +1 more source
Parametrised functor calculus: Excision, spheres, and semiadditivity
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We lay down the foundations of a theory of parametrised functor calculus, generalising parts of the functor calculus of Goodwillie. We introduce the notion of excisable posets and develop a theory of excisive approximations in this context. As an application, we introduce two different excisable posets when parametrising over an atomic orbital
Kaif Hilman, Sil Linskens
wiley +1 more source
Longitudinal smoothness of the holonomy groupoid [PDF]
, 2013 International audienceIakovos Androulidakis and Georges Skandalis have defined a holonomy groupoid for any singular foliation. This groupoid, whose topology is usually quite bad, is the starting point for the study of longitudinal pseudodifferential ...
Debord, Claire, Claire Debord
core +1 more source
bk$b^k$‐Algebroids and the variety of foliation jets
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
wiley +1 more source
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
doaj +1 more source