Characterizing rings in terms of the extent of the injectivity of their simple modules
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Publication:6159764
DOI10.1007/s00009-023-02424-zOpenAlexW4379987232WikidataQ122269532 ScholiaQ122269532MaRDI QIDQ6159764
Publication date: 20 June 2023
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-023-02424-z
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40)
Cites Work
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- Rings whose cyclic modules have restricted injectivity domains
- On Artinian rings with restricted class of injectivity domains.
- Rings and modules characterized by opposites of injectivity.
- Rings whose modules have maximal or minimal injectivity domains.
- An alternative perspective on injectivity of modules.
- On quasi-ideals in contracted semigroup rings
- On semi-artinian \(V\)-modules
- On absolutely torsion-free rings
- On hereditary rings and Boyle's conjecture
- Primeness described in the language of torsion preradicals
- Poor modules with no proper poor direct summands
- Semiartinian \(V\)-rings and semiartinian von Neumann regular rings
- Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
- On subinjectivity domains of pure-injective modules
- Rings without a middle class from a lattice-theoretic perspective
- Rings all of whose finitely generated modules are injective
- Rings whose cyclic modules have finitely generated socle
- Modules over Dedekind prime rings
- On twisted polynomial rings
- Absolutely torsion-free rings
- A class of contracted inverse semigroup rings
- POOR MODULES: THE OPPOSITE OF INJECTIVITY
- Strongly Prime Rings
- Rugged modules: The opposite of flatness
- Syntactic semigroups and graph algebras
- The isomorphism problem for graph magma algebras
- On the structure of modules defined by subinjectivity
- Semihereditary rings
- Homological properties of the ring of differential polynomials
- Some Applications of Differential Algebra to Ring Theory
- Singular torsion and the splitting properties
- Rings and modules of quotients
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