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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 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. Keywords: ring, nearring, Boolean ring, Boolean nearring.
DOI: https://doi.org/10.17516/1997-1397-2019-12-1-58-67   Full text:
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Received: 15.06.2018 Received in revised form: 06.09.2018 Accepted: 01.12.2018 Language: Citation: Hamsa Nayak, Syam P. Kuncham, Babushri S. Kedukodi, “Extensions of Boolean rings and nearrings”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 
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Citing articles on Google Scholar: Russian citations, English citations Related articles on Google Scholar: Russian articles, English articles This publication is cited in the following articles:
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