Introduction to AntiRings

Download or read book Introduction to AntiRings written by A.A.A. Agboola and published by Infinite Study. This book was released on 2020-10-01 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to introduce the concept of AntiRings. Several examples of AntiRings are presented. Specifically, certain types of AntiRings and their substructures are studied. It is shown that nonempty subsets of an AntiRing can be AntiRings with algebraic properties different from the algebraic properties of the parent AntiRing under the same binary operations. AntiIdeals, AntiQuotientRings and AntiRingHomomorphisms are studied with several examples. It is shown that the quotient of an AntiRing factored by an AntiIdeal can exhibit algebraic properties different from the algebraic properties of the AntiRing.