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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| _version_ | 1850235019373576192 |
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| author | Yongwei Yang Xiaolong Xin Pengfei He |
| author_facet | Yongwei Yang Xiaolong Xin Pengfei He |
| author_sort | Yongwei Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0f0a6c9238fa48a983e25da662a2a898 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0f0a6c9238fa48a983e25da662a2a8982025-08-20T02:02:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/474890474890Applications of Soft Union Sets in the Ring TheoryYongwei Yang0Xiaolong Xin1Pengfei He2Department of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an 710127, ChinaThe 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.http://dx.doi.org/10.1155/2013/474890 |
| spellingShingle | Yongwei Yang Xiaolong Xin Pengfei He Applications of Soft Union Sets in the Ring Theory Journal of Applied Mathematics |
| title | Applications of Soft Union Sets in the Ring Theory |
| title_full | Applications of Soft Union Sets in the Ring Theory |
| title_fullStr | Applications of Soft Union Sets in the Ring Theory |
| title_full_unstemmed | Applications of Soft Union Sets in the Ring Theory |
| title_short | Applications of Soft Union Sets in the Ring Theory |
| title_sort | applications of soft union sets in the ring theory |
| url | http://dx.doi.org/10.1155/2013/474890 |
| work_keys_str_mv | AT yongweiyang applicationsofsoftunionsetsintheringtheory AT xiaolongxin applicationsofsoftunionsetsintheringtheory AT pengfeihe applicationsofsoftunionsetsintheringtheory |