Extensions of boolean rings and nearrings

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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 languageEnglish
Pages (from-to)58-67
Number of pages10
JournalJournal of Siberian Federal University - Mathematics and Physics
Volume12
Issue number1
DOIs
Publication statusPublished - 01-01-2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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