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http://hdl.handle.net/123456789/4473
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DC Field | Value | Language |
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dc.contributor.author | Türkmen, B.N. | |
dc.date.accessioned | 2019-12-10T07:53:40Z | |
dc.date.available | 2019-12-10T07:53:40Z | |
dc.date.issued | 2018 | |
dc.identifier.uri | http://hdl.handle.net/123456789/4473 | |
dc.description | Türkmen B. N. Modules which have a rad-supplement that is a direct summand in every extension / B. N. Türkmen , E.Türkmen // Algebra and Discrete Mathematics. - 2018. - Vol. 25. - Number 1. - Рp. 157-164 | uk_UA |
dc.description.abstract | In this paper, we introduce the concept of mod- ules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if and only if M has the property (SRE). Moreover, we show that a ring R is a left V-ring if and only if every left R-module with the property (RE) is injective. Finally, we characterize the rings whose modules have the properties (RE) and (SRE). | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | ДЗ "ЛНУ імені Тараса Шевченка" | uk_UA |
dc.relation.ispartofseries | Математичні науки; | |
dc.subject | Rad-supplement | uk_UA |
dc.subject | module with the properties (RE) and (SRE) | uk_UA |
dc.subject | artinian serial ring | uk_UA |
dc.title | Modules which have a rad-supplement that is a direct summand in every extension | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (25). - 2018 |
Files in This Item:
File | Description | Size | Format | |
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159-3184-1-PB.pdf | 318.08 kB | Adobe PDF | View/Open |
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