Enumeration of Bi-commutative AG-groupoids

Muhammad Rashad; Imtiaz Ahmad; Muhammad Shah; A. B. Saeid

Enumeration of Bi-commutative AG-groupoids

Group Theory 2019-10-18 v4

Authors: Muhammad Rashad , Imtiaz Ahmad , Muhammad Shah , A. B. Saeid

Abstract

A groupoid satisfying the left invertive law: $ab\cdot c=cb\cdot a$ is called an AG-groupoid and is a generalization of commutative semigroups. We consider the concept of bi-commutativity in AG-groupoids and thus introduce left commutative AG-groupoids, right commutative AG-groupoids and bi-commutative AG-groupoids.

Keywords

ag-groupoid bi-commutativity left invertive law enumeration commutative semigroups algebraic structures

Cite

@article{arxiv.1403.5393,
  title  = {Enumeration of Bi-commutative AG-groupoids},
  author = {Muhammad Rashad and Imtiaz Ahmad and Muhammad Shah and A. B. Saeid},
  journal= {arXiv preprint arXiv:1403.5393},
  year   = {2019}
}

Comments

Though the old version had good results but had some serious mistakes in Theorem 1 and some misprints. So it is revised

Enumeration of Bi-commutative AG-groupoids

Abstract

Keywords

Cite

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