2025-02-23T08:18:15-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188355%22&qt=morelikethis&rows=5
2025-02-23T08:18:15-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188355%22&qt=morelikethis&rows=5
2025-02-23T08:18:15-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T08:18:15-05:00 DEBUG: Deserialized SOLR response
Modules which have a rad-supplement that is a direct summand in every extension

Modules which have a rad-supplement that is a direct summand in every extension

In this paper, we introduce the concept of modules 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...

Full description

Saved in:
Bibliographic Details
Main Authors: Türkmen, B.N., Türkmen, E.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188355
Tags: Add Tag
No Tags, Be the first to tag this record!
id irk-123456789-188355
record_format dspace
spelling irk-123456789-1883552023-02-24T01:27:32Z Modules which have a rad-supplement that is a direct summand in every extension Türkmen, B.N. Türkmen, E. In this paper, we introduce the concept of modules 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). 2018 Article 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, № 1. — С. 157-164. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC: 16D10, 16D50, 16N80. http://dspace.nbuv.gov.ua/handle/123456789/188355 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description In this paper, we introduce the concept of modules 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).
format Article
author Türkmen, B.N.
Türkmen, E.
spellingShingle Türkmen, B.N.
Türkmen, E.
Modules which have a rad-supplement that is a direct summand in every extension
Algebra and Discrete Mathematics
author_facet Türkmen, B.N.
Türkmen, E.
author_sort Türkmen, B.N.
title Modules which have a rad-supplement that is a direct summand in every extension
title_short Modules which have a rad-supplement that is a direct summand in every extension
title_full Modules which have a rad-supplement that is a direct summand in every extension
title_fullStr Modules which have a rad-supplement that is a direct summand in every extension
title_full_unstemmed Modules which have a rad-supplement that is a direct summand in every extension
title_sort modules which have a rad-supplement that is a direct summand in every extension
publisher Інститут прикладної математики і механіки НАН України
publishDate 2018
url http://dspace.nbuv.gov.ua/handle/123456789/188355
citation_txt 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, № 1. — С. 157-164. — Бібліогр.: 12 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT turkmenbn moduleswhichhavearadsupplementthatisadirectsummandineveryextension
AT turkmene moduleswhichhavearadsupplementthatisadirectsummandineveryextension
first_indexed 2023-10-18T23:08:11Z
last_indexed 2023-10-18T23:08:11Z
_version_ 1796157340756475904

Similar Items