Recent developments in Boolean nearrings

Reddy, Y. V.

doi:10.1142/9789813207363_0016

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2019

2021

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Cited by 2 publications

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“…Clay and Lawyer [7] showed that a distributively generated Boolean nearring is multiplicatively commutative by using subdirect sum representations of nearrings. Reddy [27] studied recent developments in Boolean nearrings. Bhavanari and Kuncham [2] introduced the concepts of linearly independent elements and u-linearly independent elements in N-group.…”

Section: Introductionmentioning

confidence: 99%

Extensions of Boolean Rings and Nearrings

Nayak¹,

Kuncham

Kedukodi

2019

J. Sib. Fed. Univ., Math. phys.

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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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Section: Introductionmentioning

confidence: 99%