Results 21 to 30 of about 4,561 (232)
Finite AG-groupoid with left identity and left zero
International Journal of Mathematics and Mathematical Sciences, 2001 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
doaj +1 more source
Mathematica Slovaca, 2013 Abstract In this paper we introduce the notion of TN-groupoids in an arbitrary groupoid, and discuss some properties in Bin(X), and obtain several results related with non-negativity of norms.
Han, Jeong Soon +2 more
openaire +2 more sources
Constructing Higher Inductive Types as Groupoid Quotients [PDF]
Logical Methods in Computer Science, 2021 In this paper, we study finitary 1-truncated higher inductive types (HITs) in homotopy type theory. We start by showing that all these types can be constructed from the groupoid quotient.
Niccolò Veltri, Niels van der Weide
doaj +1 more source
n-Groupoids and Stacky Groupoids [PDF]
International Mathematics Research Notices, 2009 We discuss two generalizations of Lie groupoids. One consists of Lie $n$-groupoids defined as simplicial manifolds with trivial $π_{k\geq n+1}$. The other consists of stacky Lie groupoids $\cG\rra M$ with $\cG$ a differentiable stack. We build a 1-1 correspondence between Lie 2-groupoids and stacky Lie groupoids up to a certain Morita equivalence.
openaire +3 more sources
Group-groupoids and monodromy groupoids
Topology and its Applications, 2011 This paper gives an introduction to some results on monodromy groupoids and the monodromy principle, and then develops the notion of monodromy groupoid for group groupoids.
Sahan, Tunçar +3 more
openaire +4 more sources
Fuzzy Upper Bounds in Groupoids
The Scientific World Journal, 2014 The notion of a fuzzy upper bound over a groupoid is introduced and some properties of it are investigated. We also define the notions of an either-or subset of a groupoid and a strong either-or subset of a groupoid and study some of their related ...
Sun Shin Ahn, Young Hee Kim, J. Neggers
doaj +1 more source
The Notions of Center, Commutator and Inner Isomorphism for Groupoids
Ingeniería y Ciencia, 2020 In this paper we introduce some algebraic properties of subgroupoids and normal subgroupoids. we define other things, we define the normalizer of a wide subgroupoid H of a groupoid G and show that, as in the case of groups, this normalizer is the ...
Jesús Ávila, Víctor Marín
doaj +1 more source
A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals
Advances in Fuzzy Systems, 2018 An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law.
Venus Amjid +2 more
doaj +1 more source
Further remarks on group-2-groupoids
Applied General Topology, 2021 The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids.
Sedat Temel
doaj +1 more source
Journal of Algebra, 2007 We study and give examples of braided groupoids, and, a fortiori, non-degenerate solutions of the quiver-theoretical braid equation.
Maldonado, Carolina +1 more
openaire +2 more sources