On a common generalization of symmetric rings and quasi duo rings
Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo rings and generalized weakly symmetric rings. Various properties of these ri...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188519 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On a common generalization of symmetric rings and quasi duo rings/ T. Subedi, D. Roy // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 249–258. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862592683959123968 |
|---|---|
| author | Subedi, T. Roy, D. |
| author_facet | Subedi, T. Roy, D. |
| citation_txt | On a common generalization of symmetric rings and quasi duo rings/ T. Subedi, D. Roy // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 249–258. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo rings and generalized weakly symmetric rings. Various properties of these rings are established and some results on exchange rings and the regularity of left SF-rings are generalized.
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| first_indexed | 2025-11-27T08:52:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188519 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T08:52:23Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Subedi, T. Roy, D. 2023-03-03T19:53:06Z 2023-03-03T19:53:06Z 2020 On a common generalization of symmetric rings and quasi duo rings/ T. Subedi, D. Roy // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 249–258. — Бібліогр.: 14 назв. — англ. 1726-3255 DOI:10.12958/adm493 2010 MSC: 13C99, 16D80, 16U80 https://nasplib.isofts.kiev.ua/handle/123456789/188519 Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo rings and generalized weakly symmetric rings. Various properties of these rings are established and some results on exchange rings and the regularity of left SF-rings are generalized. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On a common generalization of symmetric rings and quasi duo rings Article published earlier |
| spellingShingle | On a common generalization of symmetric rings and quasi duo rings Subedi, T. Roy, D. |
| title | On a common generalization of symmetric rings and quasi duo rings |
| title_full | On a common generalization of symmetric rings and quasi duo rings |
| title_fullStr | On a common generalization of symmetric rings and quasi duo rings |
| title_full_unstemmed | On a common generalization of symmetric rings and quasi duo rings |
| title_short | On a common generalization of symmetric rings and quasi duo rings |
| title_sort | on a common generalization of symmetric rings and quasi duo rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188519 |
| work_keys_str_mv | AT subedit onacommongeneralizationofsymmetricringsandquasiduorings AT royd onacommongeneralizationofsymmetricringsandquasiduorings |