Applications of Soft Union Sets in the Ring Theory
Keyword(s):
The aim of the paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion ofλ,μ-soft union rings which is a generalization of that of soft union rings is proposed. By introducing the notion of soft cosets, soft quotient rings based onλ,μ-soft union ideals are established. Moreover, through discussing quotient soft subsets, an approach for constructing quotient soft union rings is made. Finally, isomorphism theorems ofλ,μ-soft union rings related to invariant soft sets are discussed.
2019 ◽
Vol 15
(02)
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pp. 333-350
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Keyword(s):
2020 ◽
pp. 37-81
Keyword(s):
2011 ◽
Vol 61
(9)
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pp. 2647-2654
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Keyword(s):
2013 ◽
Vol 7
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pp. 2689-2695