groupoid

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groupoid

[′grü‚pȯid]
(mathematics)
A set having a binary relation everywhere defined.
References in periodicals archive ?
Aimed at both researchers and graduate students interested in various aspects of combinatorial theories, topics here include combinatories of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, the geometry of toric surfaces, groupoids in combinatories, Kazhdan-Lusztig combinatories and graph colorings.
Abstract The concept of Smarandache isotopy is introduced and its study is explored for Smarandache: groupoids, quasigroups and loops just like the study of isotopy theory was carried out for groupoids, quasigroups and loops.
Kandasamy and Smarandache introduce neutrosophic groups, neutrosophic semigroups and neutrosophic groupoids and their neutrosophic N-structures.
Vasantha Kandasamy studied the concept of Smarandache groupoids, sub-groupoids, ideal of groupoids, semi-normal subgroupoids, Smarandache Bol groupoids and strong Bol groupoids and obtained many interesting results about them.
Chapters are in sections on Poisson geometry and Morita equivalence, formality and star products, Lie groupoids and cohomology, geometric methods in representation theory, and deformation theory in physics modeling.
Lie groupoids are the main tool for studying the transversal structure of a foliation, by means of its holonomy groupoid; foliations are also a special kind of Lie algebroids; and the elementary theory of foliations is a useful tool for studying Lie groupoids and Lie algebroids.
Kandasamy [2] has studied Smarandache groupoids and Smarandache semigroups etc.
In this paper, we study the concept of Smarandache groupoids, subgroupoids, ideal of groupoids, semi-normal subgroupoids, Smarandache-Bol groupoids and Strong Bol groupoids and obtain many interesting results about them.
Vasantha Kandasamy studied the concept of Smarandache groupoids, subgroupoids, ideal of groupoide, semi-normal subgroupoides, Smarandache Bol groupoids and strong Bol groupoids and obtained many interesting results of congruences, and it was studied by R.
They begin with basic definitions and then address three-dimensional topology, distributive groupoids, the Jones-Kauffman polynomial atoms, Khovanov homology, virtual braids, Vassilierv's invariants and framed graphs, parity, and theory of graph-links.
Kandasamy defined new classes of Smarandache groupoids using [Z.