Relative regular objects in categories.
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Publication:863175
DOI10.1007/S10485-006-9048-1zbMath1116.16037arXivmath/0605606OpenAlexW2123702023MaRDI QIDQ863175
Publication date: 25 January 2007
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605606
coalgebrasgraded modulesAbelian categoriescomoduleslocally finitely generated Grothendieck categoriesregular morphismsregular objects
Graded rings and modules (associative rings and algebras) (16W50) Abelian categories, Grothendieck categories (18E10)
Related Items (21)
Purely Rickart and dual purely Rickart objects in Grothendieck categories ⋮ Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories ⋮ Rickart and dual Rickart objects in abelian categories ⋮ Split objects with respect to a fully invariant short exact sequence in abelian categories ⋮ Rickart and dual Rickart objects in abelian categories: transfer via functors ⋮ Weak Rickart and dual weak Rickart objects in abelian categories ⋮ Transfer of CS-Rickart and dual CS-Rickart properties via functors between Abelian categories ⋮ CS-Rickart and dual CS-Rickart objects in abelian categories ⋮ CS-Baer and dual CS-Baer objects in abelian categories ⋮ Relative regular modules. Applications to von Neumann regular rings. ⋮ Von Neumann regular matrices revisited ⋮ Transfer of splitness with respect to a fully invariant short exact sequence in abelian categories ⋮ Strongly Rickart objects in abelian categories ⋮ Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects ⋮ ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS ⋮ Von Neumann regularity of smash products associated with \(G\)-set gradings. ⋮ Strongly Involutory Functors ⋮ V-Categories: Applications to Graded Rings ⋮ Regular morphisms in abelian categories ⋮ F-Baer objects with respect to a fully invariant short exact sequence in abelian categories ⋮ π-Rickart and dual π-Rickart objects in abelian categories
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