Modules whose maximal submodules have τ-supplements
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Modules whose maximal submodules have τ-supplements
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| Creator |
Buyukasık, E.
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| Description |
Let R be a ring and τ be a preradical for the category of left R-modules. In this paper, we study on modules whose maximal submodules have τ-supplements. We give some characterizations of these modules in terms their certain submodules, so called τ-local submodules. For some certain preradicals τ, i.e. τ=δ and idempotent τ, we prove that every maximal submodule of M has a τ-supplement if and only if every cofinite submodule of M has a τ-supplement. For a radical τ on R-Mod, we prove that, for every R-module every submodule is a τ-supplement if and only if R/τ(R) is semisimple and τ is hereditary.
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| Date |
2019-06-15T20:44:20Z
2019-06-15T20:44:20Z 2010 |
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| Type |
Article
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| Identifier |
Modules whose maximal submodules have τ-supplements / E. Buyukasık // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 2. — С. 1–9. — Бібліогр.: 8 назв. — англ.
2000 Mathematics Subject Classification:16D10, 16N80 http://dspace.nbuv.gov.ua/handle/123456789/154772 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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