[DOWNLOAD] "On the Bicoset of a Bivector Space (Report)" by A.A.A. Akinola, L.S. Agboola # eBook PDF Kindle ePub Free

eBook details

Title: On the Bicoset of a Bivector Space (Report)
Author : A.A.A. Akinola, L.S. Agboola
Release Date : January 01, 2010
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 75 KB

Description

[section] 1. Introduction and Preliminaries The study of bialgebraic structures is a new development in the field of abstract algebra. Some of the bialgebraic structures already developed and studied and now available in several literature include: bigroups, bisemi-groups, biloops, bigroupoids, birings, binear-rings, bisemi-rings, biseminear-rings, bivector spaces and a host of others. Since the concept of bialgebraic structure is pivoted on the union of two non-empty subsets of a given algebraic structure for example a group, the usual problem arising from the union of two substructures of such an algebraic structure which generally do not form any algebraic structure has been resolved. With this new concept, several interesting algebraic properties could be obtained which are not present in the parent algebraic structure. In [1], Vasantha Kandasamy initiated the study of bivector spaces. Further studies on bivector spaces were presented by Vasantha Kandasamy and others in [2], [4] and [5]. In the present work however, we look at the bicoset of a bivector space and obtain some of its elementary properties.