Extensions of boolean rings and nearrings

Document Type

Article

Publication Title

Journal of Siberian Federal University - Mathematics and Physics

Abstract

In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.

First Page

58

Last Page

67

DOI

10.17516/1997-1397-2019-12-1-58-67

Publication Date

1-1-2019

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