Quasi-Injective and Pseudo-Infective Modules

DOI10.4153/CMB-1975-065-3zbMath0326.16023OpenAlexW2314464399WikidataQ114021647 ScholiaQ114021647MaRDI QIDQ4090487

Surjeet Singh, Surender Kumar Jain

Publication date: 1975

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1975-065-3

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Divisibility, noncommutative UFDs (16U30)

Related Items (37)

Automorphism-invariant non-singular rings and modules ⋮ Modules which are coinvariant under automorphisms of their projective covers. ⋮ Unnamed Item ⋮ Quasi-Gorenstein projective and quasi-Gorenstein injective modules ⋮ Injective and automorphism-invariant non-singular modules ⋮ Psq-injective modules and rings ⋮ On automorphism-invariant rings with chain conditions ⋮ Additive unit structure of endomorphism rings and invariance of modules ⋮ Addendum: "On automorphism-invariant modules" ⋮ Rings all of whose finitely generated ideals are automorphism-invariant ⋮ Rings with each right ideal automorphism-invariant. ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ Automorphism-invariant semi-Artinian modules ⋮ On the generalizations of injectivity ⋮ When is every module with essential socle a direct sum of automorphism-invariant modules? ⋮ MODULES SATISFYING EXTENSION CONDITIONS UNDER MONOMORPHISM OF THEIR CLOSED SUBMODULES ⋮ Modules which are invariant under t-automorphisms of their injective hulls ⋮ t-Nilpotent invariant modules ⋮ MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS ⋮ Pseudo projective modules which are not quasi projective and quivers ⋮ On a generalization of semisimple modules ⋮ A NOTE ON PSEUDO-INJECTIVE MODULES ⋮ Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings ⋮ Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers ⋮ Extensions of automorphisms of submodules. ⋮ Characterization of rings using direct-projective modules and direct- injective modules ⋮ Skew-injective modules ⋮ Modules which are invariant under monomorphisms of their injective hulls ⋮ Automorphism-invariant modules. ⋮ Pseudo-Injective Modules Which are not Quasi-Injective ⋮ On image summand coinvariant modules and kernel summand invariant modules ⋮ On automorphism-invariant modules ⋮ Modules over strongly prime rings ⋮ Strictly invariant submodules ⋮ Strongly Discrete Modules ⋮ Pseudo-injective group algebra ⋮ Mutually essentially pseudo-injective modules.

This page was built for publication: Quasi-Injective and Pseudo-Infective Modules