When is homR(M,−) equal to homR(M,−) in the category R-gr?

DOI10.1080/00927879408825020zbMath0802.16038OpenAlexW2068599250MaRDI QIDQ4295995

Gigel Militaru, José L. Gómez Pardo, Constantin Năstăsescu

Publication date: 7 July 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408825020

zbMATH Keywords

Grothendieck categoriesfinite topologygraded ringfinitely generatedgraded left \(R\)-modulesrelative small objects

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Finite transformation groups (57S17) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Small Modules over Abelian Regular Rings, Crossed modules and Doi-Hopf modules, Steady ideals and rings, When Products of Self-Small Modules are Self-Small, When every self-small module is finitely generated., Graded change of ring, Coarsening of Graded Local Cohomology, On quasi-duaiity modules, Modules Commuting (Via Hom) with Some Colimits, Compactness in abelian categories, Autocompact objects of Ab5 categories, Connected objects in categories of S-acts, Some topics on hom_A(M, –) in the category of relative hopf modules

Cites Work

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• Some constructions over graded rings: Applications
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• Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
• Topological aspects of graded rings