Applications of Soft Union Sets in the Ring Theory
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 of λ,μ-soft union rings which is a generalization of that of soft union rings is proposed. By intro...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/474890 |
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| Summary: | 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 of λ,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 on λ,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 of λ,μ-soft union rings related to invariant soft sets are discussed. |
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| ISSN: | 1110-757X 1687-0042 |