Extensions of boolean rings and nearrings

Hamsa Nayak; Syam P. Kuncham; Babushri S. Kedukodi

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

Extensions of boolean rings and nearrings

Hamsa Nayak
, Syam P. Kuncham
, Babushri S. Kedukodi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	58-67
Number of pages	10
Journal	Journal of Siberian Federal University - Mathematics and Physics
Volume	12
Issue number	1
DOIs	https://doi.org/10.17516/1997-1397-2019-12-1-58-67
Publication status	Published - 01-01-2019

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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

Cite this

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AB - 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.

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Extensions of boolean rings and nearrings

Abstract

All Science Journal Classification (ASJC) codes

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