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https://hdl.handle.net/11499/7431
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Birkenmeier, G.F. | - |
dc.contributor.author | Tercan, A. | - |
dc.contributor.author | Yücel, Canan Celep | - |
dc.date.accessioned | 2019-08-16T12:29:34Z | - |
dc.date.available | 2019-08-16T12:29:34Z | - |
dc.date.issued | 2014 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.uri | https://hdl.handle.net/11499/7431 | - |
dc.identifier.uri | https://doi.org/10.1080/00927872.2012.723084 | - |
dc.description.abstract | A module M is called an extending (or CS) module provided that every submodule of M is essential in a direct summand of M. We call a module C{script}-extending if every member of the set C{script} is essential in a direct summand where C{script} is a subset of the set of all submodules of M. Our focus is the behavior of the C{script}-extending modules with respect to direct sums and direct summands. By obtaining various well-known results on extending modules and generalizations as corollaries of our results, we show that the C{script}-extending concept provides a unifying framework for many generalizations of the extending notion. Moreover, by applying our results to various sets C{script}, including the projection invariant submodules, the projective submodules, and torsion or torsion-free submodules of a module, we obtain new results including a characterization of the projection invariant extending Abelian groups. © 2014 Copyright Taylor and Francis Group, LLC. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Communications in Algebra | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Endomorphism ring | en_US |
dc.subject | Extending module | en_US |
dc.subject | FI-extending module | en_US |
dc.subject | Fully invariant submodule | en_US |
dc.subject | Projection invariant | en_US |
dc.title | The Extending Condition Relative to Sets of Submodules | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 42 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 764 | - |
dc.identifier.startpage | 764 | en_US |
dc.identifier.endpage | 778 | en_US |
dc.authorid | 0000-0002-8164-1699 | - |
dc.identifier.doi | 10.1080/00927872.2012.723084 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopus | 2-s2.0-84886447344 | en_US |
dc.identifier.wos | WOS:000325788400020 | en_US |
dc.identifier.scopusquality | Q2 | - |
dc.owner | Pamukkale University | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | none | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 17.04. Mathematics | - |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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