Module Theory, Extending Modules and Generalizations

DOI10.1007/978-3-0348-0952-8zbMath1368.16002OpenAlexW2500816820MaRDI QIDQ2950381

Adnan Tercan, Canan Celep Yücel

Publication date: 8 October 2015

Published in: Frontiers in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0952-8

zbMATH Keywords

extending ringsGoldie extending modulesCS modulesGoldie extending rings\(C_{11}\) modules\(C_{12}\) modulesextending (or CS, \(C_1\)) modulesGoldie \(\ast\)-supplemented modulesGoldie-rad-supplemented moduleslifting submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (21)

On ⊕-δss-supplemented modules ⋮ Goldie extending property on the class of exact submodules ⋮ Unnamed Item ⋮ When some complement of a z-closed submodule is a summand ⋮ Summand intersection property on the class of exact submodules ⋮ C11 -modules via left exact preradicals ⋮ The spectrum of the Burnside Tambara functor of a cyclic group ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modules whose $p$-submodules are direct summands ⋮ Fully invariant-extending modular lattices, and applications. I. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Center of intersection graph of submodules of a module ⋮ The conditions (𝐂ᵢ),𝐢=1,2,3,11,12, in rings, modules, categories, and lattices ⋮ Generalized extending modules via exchange and clean properties ⋮ When some complement of an exact submodule is a direct summand ⋮ Modules whose exact submodules are essentially embedded in summands ⋮ Summand intersection property of modules via z-closed submodules ⋮ Extending properties of exact projection invariant submodules

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