Correspondence theorems for modules and their endomorphism rings

DOI10.1016/0021-8693(89)90224-XzbMath0679.16023MaRDI QIDQ1822597

Soumaya Makdissi Khuri

Publication date: 1989

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

zbMATH Keywords

dualitylattice of idealsGalois connectionslattice of submodulesright annihilatorsleft Goldieleft complementsleft CS ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representation theory of lattices (06B15) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

INTERSECTION GRAPH OF A MODULE, Nonsingular retractable modules and their endomorphism rings, P-injective endomorphism rings, CORETRACTABLE MODULES, Retractable and coretractable abelian groups

Cites Work

• Baer rings of endomorphisms
• Endomorphism rings of self-generators
• Endomorphism rings of infinitely generated projective modules
• Lectures on injective modules and quotient rings
• Endomorphismenringe freier Moduln
• Endomorphism Rings of Modules over non-singular CS Rings
• Quotient Rings of Endomorphism Rings of Modules with Zero Singular Submodule
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