Decomposition of modules into modules whose annihilators are pseudo-irreducible

DOI10.1080/00927872.2018.1448849zbMath1410.13008OpenAlexW2800850802MaRDI QIDQ4689802

E. Rostami, R. Nekooei, S. Karimzadeh

Publication date: 22 October 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1448849

zbMATH Keywords

von Neumann regular ringpseudo-irreducible idealAPI-modulecomplete comaximal decomposition

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

• Comultiplication modules over commutative rings
• Generalized comaximal factorization of ideals
• Monoids of modules and arithmetic of direct-sum decompositions.
• On the dual notion of prime submodules. II
• Unique comaximal factorization
• The dual notion of multiplication modules.
• Rings with Noetherian spectrum
• Module Decompositions Using Pairwise Comaximal Ideals
• The Zariski Topology on the Second Spectrum of a Module
• Decomposition of ideals into pseudo-irreducible ideals
• A characterization of commutative rings whose maximal ideal spectrum is Noetherian
• Direct-sum decompositions of modules with semilocal endomorphism rings
• ON COMULTIPLICATION AND R-MULTIPLICATION MODULES
• Zariski Topologies for Coprime and Second Submodules
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