Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (1)
- Authors
- Nayak, Hamsa; Kuncham, Syam P.; Kedukodi, Babushri S.
- Contact information
- Nayak, Hamsa: Department of Mathematics Manipal Institute of Technology Manipal Academy of Higher Education Manipal Karnataka, 576104 India; Kuncham, Syam P.: Department of Mathematics Manipal Institute of Technology Manipal Academy of Higher Education Manipal Karnataka, 576104 India; Kedukodi, Babushri S.: Department of Mathematics Manipal Institute of Technology Manipal Academy of Higher Education Manipal Karnataka, 576104 India;
- Keywords
- ring; nearring; Boolean ring; Boolean nearring
- 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
- Pages
- 58–67
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109333
Journal of Siberian Federal University. Mathematics & Physics / Extensions of Boolean Rings and Nearrings
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