The Extending Condition Relative to Sets of Submodules
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Publication:5409814
DOI10.1080/00927872.2012.723084zbMath1297.16007OpenAlexW2008347486MaRDI QIDQ5409814
Adnan Tercan, Gary F. Birkenmeier, Canan Celep Yücel
Publication date: 14 April 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2012.723084
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)
Related Items (23)
Retracted: On projection-invariant submodules of QTAG-modules. ⋮ The T-extending condition relative to projection invariant submodules ⋮ Modules whose certain submodules are essentially embedded in direct summands ⋮ Quasi-s.Baer and related modules ⋮ Unnamed Item ⋮ When some complement of a z-closed submodule is a summand ⋮ Generalized π-Baer rings ⋮ The π-extending Property via Singular Quotient Submodules ⋮ π-Baer rings ⋮ Unnamed Item ⋮ Corrigendum to: on the inheritance of the strongly π-extending property ⋮ Modules whose $p$-submodules are direct summands ⋮ On strongly PI-lifting modules ⋮ π-Rickart rings ⋮ A survey of intrinsic extensions of rings ⋮ π-endo Baer modules ⋮ On the inheritance of the strongly π-extending property ⋮ Essential extensions with the -extending property ⋮ Generalized extending modules via exchange and clean properties ⋮ On Generalized FI-extending Modules ⋮ When some complement of an exact submodule is a direct summand ⋮ Modules whose exact submodules are essentially embedded in summands ⋮ Extending properties of exact projection invariant submodules
Cites Work
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- CS modules relative to a torsion theory.
- THE FULLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS
- When Some Complement of a Submodule Is a Summand
- On the relative (quasi-) continuity of modules
- When is the cs condition hereditary?
- Modules which are extending relative to module classes
- MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS
- Idempotents and completely semiprime ideals
- Generalizations of CS-modules
- Modules with the summand intersection property
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