When Cyclic Modules Have Σ-Injective Hulls

DOI10.1081/AGB-120022784zbMath1032.16005OpenAlexW1967600427MaRDI QIDQ4420205

Carl Faith

Publication date: 14 August 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120022784

zbMATH Keywords

right Kasch ringsArtinian ringsNoetherian ringsvon Neumann regular ringscyclic right modulesright CSI-rings\(\Delta\)-injective modules\(\Sigma\)-injective hulls

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

Leavitt path algebras: graded direct-finiteness and graded \(\Sigma\)-injective simple modules ⋮ ON RINGS OVER WHICH THE INJECTIVE HULL OF EACH CYCLIC MODULE IS Σ-EXTENDING ⋮ On Some Artinian QF-3 Rings ⋮ Rings whose (proper) cyclic modules have cyclic automorphism-invariant hulls

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