Geodesic
Extensions of Boolean rings and nearrings
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 58-67

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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.
Keywords: ring, nearring, Boolean ring, Boolean nearring. 
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     title = {Extensions of {Boolean} rings and nearrings},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a4/}
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Hamsa Nayak; Syam P. Kuncham; Babushri S. Kedukodi. Extensions of Boolean rings and nearrings. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 58-67. http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a4/