Pseudocomplements and strong pseudocomplements in lattices of module classes

DOI10.1142/S0219498818500160zbMath1415.16005MaRDI QIDQ4599709

Alejandro Alvarado García, Hugo Alberto Rincón-Mejía, César Cejudo Castilla, Ivan Fernando Vilchis-Montalvo

Publication date: 4 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

coatomic modulemax ringsemiartinian ringperfect ringpseudocomplement\(V\)-ring\(R\)-conat\(R\)-nat\(R\)-torsbig lattices of module classesstrong pseudocomplement

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Other classes of modules and ideals in associative algebras (16D80)

Related Items (5)

Big lattices of module classes induced by preradicals ⋮ Parainjectivity, paraprojectivity and artinian principal ideal rings ⋮ On compactness and cocompactness conditions for R-tors, R-pr and (big) lattices of classes of modules ⋮ Unnamed Item ⋮ On retractability and its relationships with lattices associated to a ring

Cites Work

• Characterizing rings in terms of the extent of the injectivity and projectivity of their modules.
• ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
• ON SOME LATTICES OF MODULE CLASSES
• On some classes ofR-modules and congruences inR-tors
• Pseudocomplements in the lattice of torsion classes
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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