A generalization of supplemented modules
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A generalization of supplemented modules
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| Creator |
Inankil, H.
Halıcıoglu, S. Harmanci, A. |
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| Description |
Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a class of modules which is an analogous of δ-supplemented modules defined by Kosan. The module M is called principally δ-supplemented, for all m∈M there exists a submodule A of M with M=mR+A and (mR)∩A δ-small in A. We prove that some results of δ-supplemented modules can be extended to principally δ-supplemented modules for this general settings. We supply some examples showing that there are principally δ-supplemented modules but not δ-supplemented. We also introduce principally δ-semiperfect modules as a generalization of δ-semiperfect modules and investigate their properties.
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| Date |
2019-06-16T05:39:07Z
2019-06-16T05:39:07Z 2011 |
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| Type |
Article
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| Identifier |
A generalization of supplemented modules / H. Inankil, S. Halıcıoglu, A. Harmanci // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 59–74 — Бібліогр.: 16 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:16U80. http://dspace.nbuv.gov.ua/handle/123456789/154837 |
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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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