H -supplemented modules with respect to a preradical
Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every submodule A of M there exists a direct summand D of M such that (A+D)/D⊆τ(M/D) and (A+D)/A⊆τ(M/A). Let τ be a cohereditary preradical. Firstly, for a duo module M=M₁⊕M₂ we prove that M is τ-H-supplemented if and on...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2011 |
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| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154821 |
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| Zitieren: | H -supplemented modules with respect to a preradical/ Yahya Talebi, A. R. Moniri Hamzekolaei, Derya Keskin Tutuncu // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 116–131. — Бібліогр.: 16 назв. — англ. |
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Talebi, Y. Moniri Hamzekolaei, A. R. Tutuncu, D. K. 2019-06-16T05:31:52Z 2019-06-16T05:31:52Z 2011 H -supplemented modules with respect to a preradical/ Yahya Talebi, A. R. Moniri Hamzekolaei, Derya Keskin Tutuncu // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 116–131. — Бібліогр.: 16 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16S90, 16D10, 16D70, 16D99. https://nasplib.isofts.kiev.ua/handle/123456789/154821 Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every submodule A of M there exists a direct summand D of M such that (A+D)/D⊆τ(M/D) and (A+D)/A⊆τ(M/A). Let τ be a cohereditary preradical. Firstly, for a duo module M=M₁⊕M₂ we prove that M is τ-H-supplemented if and only if M₁ and M₂ are τ-H-supplemented. Secondly, let M=⊕ⁿi=1Mi be a τ-supplemented module. Assume that Mi is τ-Mj-projective for all j>i. If each Mi is τ-H-supplemented, then M is τ-H-supplemented. We also investigate the relations between τ-H-supplemented modules and τ-(⊕-)supplemented modules. The authors would like to thank Prof. R. Wisbauer and the referee for their helpfulcomments and carefully reading this article en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics H -supplemented modules with respect to a preradical Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
H -supplemented modules with respect to a preradical |
| spellingShingle |
H -supplemented modules with respect to a preradical Talebi, Y. Moniri Hamzekolaei, A. R. Tutuncu, D. K. |
| title_short |
H -supplemented modules with respect to a preradical |
| title_full |
H -supplemented modules with respect to a preradical |
| title_fullStr |
H -supplemented modules with respect to a preradical |
| title_full_unstemmed |
H -supplemented modules with respect to a preradical |
| title_sort |
h -supplemented modules with respect to a preradical |
| author |
Talebi, Y. Moniri Hamzekolaei, A. R. Tutuncu, D. K. |
| author_facet |
Talebi, Y. Moniri Hamzekolaei, A. R. Tutuncu, D. K. |
| publishDate |
2011 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every submodule A of M there exists a direct summand D of M such that (A+D)/D⊆τ(M/D) and (A+D)/A⊆τ(M/A). Let τ be a cohereditary preradical. Firstly, for a duo module M=M₁⊕M₂ we prove that M is τ-H-supplemented if and only if M₁ and M₂ are τ-H-supplemented. Secondly, let M=⊕ⁿi=1Mi be a τ-supplemented module. Assume that Mi is τ-Mj-projective for all j>i. If each Mi is τ-H-supplemented, then M is τ-H-supplemented. We also investigate the relations between τ-H-supplemented modules and τ-(⊕-)supplemented modules.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154821 |
| citation_txt |
H -supplemented modules with respect to a preradical/ Yahya Talebi, A. R. Moniri Hamzekolaei, Derya Keskin Tutuncu // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 1. — С. 116–131. — Бібліогр.: 16 назв. — англ. |
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2025-12-07T19:02:08Z |
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2025-12-07T19:02:08Z |
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1850877283764535296 |