Relatively Extending Modules

descriptionPublicationkeyboard_double_arrow_right Article 04 Mar 2009 English Publisher:Springer Science and Business Media LLCJournal:Algebras and Representation Theory, volume 12, pages 319-332 (issn: 1386-923X, eissn: 1572-9079,

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Authors: Crivei, Septimiu;

doi: 10.1007/s10468-009-9155-4

Relatively Extending Modules

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Abstract

The author describes in a common language two generalizations of extending modules studied by \textit{P. F. Smith, D. V. Huynh} and \textit{N. V. Dung} [in Q. J. Math., Oxf. II. Ser. 41, No. 162, 225-235 (1990; Zbl 0712.16016)] and by \textit{J. Clark} [in Abelian groups and modules. Proc. int. conf. Dublin, 1998. Basel: Birkhäuser. Trends in Mathematics. 353-358 (1999; Zbl 0942.16007)]. Using this language, some results concerning rational extensions, covers, extending modules and dense submodules are generalized.

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Babeș-Bolyai University
Romania

Keywords

generalizations of extending modules, precovers, Injective modules, self-injective associative rings, Free, projective, and flat modules and ideals in associative algebras, natural classes, closed submodules, Other classes of modules and ideals in associative algebras, proper classes, covers

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