2025-02-22T17:31:48-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-155747%22&qt=morelikethis&rows=5
2025-02-22T17:31:48-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-155747%22&qt=morelikethis&rows=5
2025-02-22T17:31:48-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T17:31:48-05:00 DEBUG: Deserialized SOLR response
Amply (weakly) Goldie-Rad-supplemented modules
Let R be a ring and M be a right R-module. We say a submodule S of M is a \textit{(weak) Goldie-Rad-supplement} of a submodule N in M, if M=N+S, (N∩S≤Rad(M)) N∩S≤Rad(S) and Nβ∗∗S, and M is called amply (weakly) Goldie-Rad-supplemented if every submodule of M has ample (weak) Goldie-Rad-supplements...
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2016
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155747 |
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