Results 101 to 110 of about 4,480 (224)
Universal connections on Lie groupoids
International Journal of Mathematics and Mathematical Sciences, 2003 Given a Lie groupoid Ω, we construct a groupoid J1Ω equipped with a universal connection from which all the connections of Ω are obtained by certain pullbacks.
Efstathios Vassiliou +1 more
doaj +1 more source
Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley +1 more source
, 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
openaire +3 more sources
, 2010 In this note, we extend the idea of G-Frobenius algebras (G-FAs) for G a finite group to the case where G is replaced by a finite groupoid. These new structures, which we call groupoid Frobenius algebras, have twists that are entirely analogous to the ...
DAVID N. PHAM
core +1 more source
Pseudogroups and their étale groupoids
Advances in Mathematics, 2013 A pseudogroup is a complete infinitely distributive inverse monoid. Such inverse monoids bear the same relationship to classical pseudogroups of transformations as frames do to topological spaces. The goal of this paper is to develop the theory of pseudogroups motivated by applications to group theory, C*-algebras and aperiodic tilings.
Lawson, Mark V., Lenz, Daniel H.
openaire +2 more sources
Non-Abelian Extensions of Groupoids and Their Groupoid Rings
Applied Categorical StructuresAbstract We present a geometrically oriented classification theory for non-Abelian extensions of groupoids generalizing the classification theory for Abelian extensions of groupoids by Westman as well as the familiar classification theory for non-Abelian extensions of groups by Schreier and Eilenberg-MacLane.
Natã Machado +2 more
openaire +5 more sources
A Construction of a Smooth Travel Groupoid on a Spanning Tree Associated with Lotus Graphs
Jambura Journal of MathematicsA travel groupoid is a binary system associated with a graph through an operation on its vertex set, while a smooth travel groupoid satisfies an additional smoothness condition.
Husnul Khotimah +2 more
doaj +1 more source
Graph Varieties Axiomatized by Semimedial, Medial, and Some Other Groupoid Identities
Discussiones Mathematicae - General Algebra and Applications, 2020 Directed graphs without multiple edges can be represented as algebras of type (2, 0), so-called graph algebras. A graph is said to satisfy an identity if the corresponding graph algebra does, and the set of all graphs satisfying a set of identities is ...
Lehtonen Erkko, Manyuen Chaowat
doaj +1 more source
On Ideals of Implication Groupoids [PDF]
Advances in Decision Sciences, 2012 Ideals of implication groupoids are considered. Given a subset of a distributive implication groupoid, the smallest ideal containing it is constructed. A characterization of ideals in distributive implication groupoid using upper sets is given.
openaire +3 more sources
Topological groupoid quantales
, 2020 We associate a canonical unital involutive quantale to a topological groupoid. When the groupoid is alsoétale, this association is compatible with but independent from the theory of localicétale groupoids and their quantales [19] of P. Resende.
Alessandra Palmigiano, Riccardo Re
core