Strongly Rickart objects in abelian categories
From MaRDI portal
Publication:5376000
DOI10.1080/00927872.2018.1439046zbMath1401.18028arXiv1803.01751OpenAlexW2789955186MaRDI QIDQ5376000
Gabriela Olteanu, Septimiu Crivei
Publication date: 17 September 2018
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01751
abelian categorycomodule(graded) module(dual) strongly Rickart object(dual) strongly Baer objectstrongly regular object
Module categories in associative algebras (16D90) Graded rings and modules (associative rings and algebras) (16W50) Abelian categories, Grothendieck categories (18E10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Coalgebras and comodules; corings (16T15)
Related Items
Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories, Split objects with respect to a fully invariant short exact sequence in abelian categories, D4-objects in abelian categories: Transfer via functors, CS-Baer and dual CS-Baer objects in abelian categories, Subrings of endomorphism rings associated with right minimal morphisms, Transfer of splitness with respect to a fully invariant short exact sequence 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Relative regular modules. Applications to von Neumann regular rings.
- Direct sums of Rickart modules.
- Relative regular objects in categories.
- On direct sums of Baer modules.
- Finite splitness and finite projectivity
- Exponentiable morphisms, partial products and pullback complements
- Adjoint functors and equivalences of subcategories
- Methods of graded rings.
- Rickart and dual Rickart objects in abelian categories: transfer via functors
- Strongly lifting modules and strongly dual Rickart modules
- Rickart and dual Rickart objects in abelian categories
- Modules Whose Endomorphism Rings are Von Neumann Regular
- Dual Rickart Modules
- On Strongly Extending Modules
- DUO MODULES
- On a Natural Duality Between Grothendieck Categories
- ON DUAL BAER MODULES
- Properties of direct summands of modules
- Frobenius functors: applications
- Baer and Quasi-Baer Modules
- Semiregular Morphisms
- Strongly Rickart objects in abelian categories: Applications to strongly regular and strongly Baer objects
- Rickart Modules
- Regularity and Substructures of Hom
- Regular Modules
- Topological Representation of Algebras
- Modules Over Dedekind Rings and Valuation Rings
- Modules with the summand intersection property