Atlas home || Conferences | Abstracts | about Atlas

1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

View Abstracts
Conference Homepage

On Finite LA-Monoid With Left Zero
by
Qaiser Mushtaq
Universiti Brunei Darussalam
Coauthors: M. Sarwar Kamran

A left almost semigroup, abbreviated as LA-semigroup, is a groupoid G whose elements satisfy the left invertive law: It is a non-associative algebraic structure midway between a groupoid and a commutative semigroup. If it contains a left identity then it is called an LA-monoid. In this paper we show that if G is a finite LA-monoid with a left zero then, under certain conditions, G with no left zero is a commutative group.

Date received: May 20, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabd-12.