Loewy Modules with Finite Loewy Invariants and Max Modules with Finite Radical Invariants

DOI10.1080/00927872.2014.891604zbMath1327.16013OpenAlexW2142295047MaRDI QIDQ5256737

Alberto Facchini, Mai Hoang Bien

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.891604

zbMATH Keywords

endomorphism ringsArtinian modulessemilocal ringsLoewy modulesLoewy invariantsmax modules

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (1)

Artinian dimension and isoradical of modules

Cites Work

• Unnamed Item
• Local morphisms and modules with a semilocal endomorphism ring.
• Loewy and Artinian modules over commutative rings
• Dual generalizations of the Artinian and Noetherian conditions
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Modules which are isomorphic to submodules of each other
• Krull-Schmidt fails for serial modules
• Loewy series of modules.
• Quotient finite dimensional modules with acc on subdirectly irreducible submodules are noetherian
• The Dual of the Notion of “Finitely Generated”
• On semilocal rings

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