# groupoid

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## groupoid

(ˈɡruːpɔɪd)
n
(Mathematics) maths an algebraic structure consisting of a set with a single binary operation acting on it
References in periodicals archive ?
Zhang, BCC-algebras and residuated partially-ordered groupoid, Mathematica Slovaca, 63 (3) (2013), 397-410.
q]), namely Kharchenko's PBW-basis and the PBW-basis defined from a reduced expression of a longest element of the Weyl groupoid.
Abel Grassmann's groupoid abbreviated as an AG-groupoid is a groupoid whose element satisfies the left invertive law i.
A non-empty set of elements G is said to form a groupoid if in G is defined a binary operation called the product denoted by * such that a * b [member of] G, [for all] a, b [member of] G.
Keywords: frozen accident, rate distortion function, protein folding, free energy density, spin glass, groupoid, Onsager relations, holonomy
An Abel- Grassmann's groupoid, abbreviated as an AG-groupoid (or in some papers left almost semigroup), is a non-associative algebraic structure mid way between a groupoid and a commutative semigroup.
NIS TO R, Analysis ofgeometric operators on open manifolds: a groupoid approach, in Quantization of Singular Symplectic Quotients, N.
c], and they turn out to be automorphisms of the Einstein groupoid ([R.
Heller's current work focuses on the fields of noncommutative geometry and groupoid theory in mathematics.
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.
In fact, there is a categorical equivalence between the partial actions of a group G on sets and the star injective functors from groupoids to the group G, considered as a groupoid with a single object .
Then they cover quantum metric spaces and the Gromov-Hausdorff propinquity, lectures on the classical moment problem and its noncommutative generalization, metrics and causality on Moyal planes, Pythagoras theorem in noncommutative geometry, and an overview of groupoid crossed products in dynamical systems.
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