Article ID: MTJPAM-D-19-00003

Title: SOME ALGEBRAIC PROPERTIES OVER THE GENERALIZED GENERAL PRODUCT OBTAINED BY MONOIDS AND GROUPS


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-19-00003; Volume 1 / Issue 1 / Year 2019, Pages 96-106

Document Type: Research Paper

Author(s): Suha A. Wazzan a

aDepartment of Mathematics, KAU King Abdulaziz University, Science Faculty, Girls Campus, 21589, Jeddah-Saudi Arabia

Received: 9 July 2019, Accepted: 4 September 2019, Available online: 28 November 2019.

Corresponding Author: Suha A. Wazzan (Email address: swazzan@kau.edu.sa)

Full Text: PDF

Abstract

Suppose A and B be arbitrary monoids. In [2], it has been recently defined a new consequence of the general product A⊕B δ⋈ψ B⊕A under the name of the generalized general product, and then has been given a presentation for it. In this paper we give some algebraic properties of the generalized general product obtained by some certain monoids and groups.

Keywords: General product, Left cancellative monoids, Bands, Equidivisible, Orthodox

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