On Modulo AG-Groupoids

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 3

Abstract

A groupoid G is called an AG-groupoid if it satisfies the left invertive law: (ab)c = (cb)a. An AG-group G, is an AG-groupoid with left identity e 2 G (that is, ea = a for all a 2 G) and for all a 2 G there exists 12 G such that a 1 a = 1 = e. In this article we introduce the concept of AG-groupoids (mod n) and AG-group (mod n) using Vasanthas constructions [1]. This enables us to prove that AG-groupoids (mod n) and AG-groups (mod n) exist for every integer n 3. We also give some nice characterizations of some classes of AG-groupoids in terms of AG-groupoids (mod n).

Authors and Affiliations

Aman Ullah, M. Rashad, I. Ahmad

Keywords

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  • EP ID EP651304
  • DOI 10.24297/jam.v8i3.7265
  • Views 226
  • Downloads 0

How To Cite

Aman Ullah, M. Rashad, I. Ahmad (2014). On Modulo AG-Groupoids. JOURNAL OF ADVANCES IN MATHEMATICS, 8(3), 1606-1613. https://europub.co.uk/articles/-A-651304