groupoid

(redirected from Groupoids)
Also found in: Dictionary.

groupoid

[′grü‚pȯid]
(mathematics)
A set having a binary relation everywhere defined.
References in periodicals archive ?
Holgate, Groupoids satisfying a simple invertive law, The Math.
t t [not equal to] u we get a collection of groupoids Z*(n) as: Z*(n) = {[Z.
Extension of such transitional arguments in terms of rate distortion and metabolic measures appear direct, particularly in the setting of the groupoids constructed by the disjoint union of the homology groups representing the different coding topologies identified in [73] (see also [80]).
Mackenzie: General theory of Lie groupoids and Lie algebroids, London Math.
Definition 1: An ordered pair (S, -), with S a non-empty set and - being a binary operation on S, is called a subtractive groupoid if (1.
We point out the relationship between partial group actions and groupoids and present the notion of a partial skew group algebra, which is one of the most important constructions in the whole theory.
Abel-Grassmann's Groupoid (abbreviated as an AG-groupoid or LA-semigroup) was first introduced by Naseeruddin and Kazim in 1972.
and Faisal, On fuzzy ordered Abel-Grassmann's groupoids.
Nonabelian algebraic topology; filtered spaces, crossed complexes, cubical homotopy groupoids.
The study of the Smarandache concept in groupoids was initiated by W.
In particular, we wish to generalize Theorem 1 from groups to groupoids (see Theorem 2 in Section 4).
One should obtain a generalization of Polya theory in which finite sets are replaced by finite groupoids [3].