This article is cited in 1 scientific paper (total in 1 paper)
Extensions of Boolean rings and nearrings
Hamsa Nayak, Syam P. Kuncham, Babushri S. Kedukodi
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal Karnataka, 576104, India
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.
ring, nearring, Boolean ring, Boolean nearring.
|All authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr. T. M.A. Pai PhD Scholarship.
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Received in revised form: 06.09.2018
Hamsa Nayak, Syam P. Kuncham, Babushri S. Kedukodi, “Extensions of Boolean rings and nearrings”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 58–67
Citation in format AMSBIB
\by Hamsa~Nayak, Syam~P.~Kuncham, Babushri~S.~Kedukodi
\paper Extensions of Boolean rings and nearrings
\jour J. Sib. Fed. Univ. Math. Phys.
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Hamsa N., Srinivas K.B., Prasad K.S., “Oncentral Boolean Rings and Boolean Type Fuzzy Ideals”, Kuwait J. Sci., 46:4 (2019), 23–32
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