2025-02-23T00:45:51-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-154603%22&qt=morelikethis&rows=5
2025-02-23T00:45:51-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-154603%22&qt=morelikethis&rows=5
2025-02-23T00:45:51-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T00:45:51-05:00 DEBUG: Deserialized SOLR response
Preradicals and characteristic submodules: connections and operations

Preradicals and characteristic submodules: connections and operations

For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in R-pr are constructed. Using the product and coproduct in R-pr four operations...

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Bibliographic Details
Main Author: Kashu, A.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2010
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/154603
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Summary:For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in R-pr are constructed. Using the product and coproduct in R-pr four operations in the lattice Lch(RM) are defined. Some properties of these operations are shown and their relations with the lattice operations in Lch(RM) are investigated. As application the case RM=RR is mentioned, when Lch(RR) is the lattice of two-sided ideals of ring R.

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