Torsion-free modules and rings
From MaRDI portal
Publication:2523906
DOI10.1016/0021-8693(64)90023-7zbMath0145.26804OpenAlexW1986620819MaRDI QIDQ2523906
Publication date: 1964
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(64)90023-7
Related Items
Rings with finite reduced rank ⋮ Distinguished submodules ⋮ Semihereditary semichain rings ⋮ Self-duality of serial rings ⋮ Structure globale des extensions regulieres galoisiennes ⋮ A note on semi-prime modules, I ⋮ Armatures des extensions galoisiennes ⋮ Artinian rings with restricted primeness conditions ⋮ Structure et synthese des extensions regulieres galoisiennes. I ⋮ Structure et synthese des extensions regulieres galoisiennes. II ⋮ TTF-classes over perfect rings ⋮ Nonsingular Rings ⋮ A note on locally uniform rings and modules ⋮ Artinian quotient rings of ideal invariant Noetherian rings ⋮ Reduced rank in Noetherian rings ⋮ ON INCIDENCE MODULO IDEAL RINGS ⋮ Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals ⋮ A closure operation on submodules ⋮ Nonsingular rings with essential socles ⋮ Additive rank functions in Noetherian rings ⋮ Submodules of Direct Sums of Compressible Modules ⋮ Additive rank functions and Gabriel filters in right Noetherian rings ⋮ Note on right-regular-ideal-rings ⋮ A characterization of rings with Krull dimension ⋮ Decomposition Theories for Modules ⋮ On Finite-Dimensional Torsion-Free Modules and Rings ⋮ Cyclic modules whose quotients have all complement submodules direct summands ⋮ Unnamed Item ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Les t-anneaux, la condition (H) de gabriel et ses consequences ⋮ Finiteness of the number of minimal atoms in Grothendieck categories ⋮ Unnamed Item ⋮ Rings characterized via some classes of almost-injective modules ⋮ Global dimension of Noetherian serial rings. ⋮ Ideal invariance and Artinian quotient rings ⋮ ON A CLASS OF SEMIPERFECT RINGS ⋮ Über eine Klasse von Artin-Ringen. II ⋮ Torsion theories and homological dimensions ⋮ Isomorphismes et automorphismes des anneaux presque-simples ⋮ Lattice-Ordered Injective Hulls ⋮ Serial rings and finitely presented modules ⋮ A generalization of finite dimensionality for modules ⋮ Factorisations des extensions galoisiennes ⋮ ON MODULES WHICH ARE SUBISOMORPHIC TO THEIR PURE-INJECTIVE ENVELOPES ⋮ Remarks on ideals of bounded Krull prime rings ⋮ Modules which are subisomorphic to injective modules ⋮ Some model-theoretic aspects of torsion theories ⋮ Über eine Klasse von Ringen mit Minimalbedingung. I ⋮ Klassische Quotientenringe von nicht notwendig endlich-dimensionalen, halbprimen Ringen ⋮ Semidistributive modules ⋮ Rings faithfully represented on their left socle ⋮ A note on singular ideals ⋮ The singular submodule splits off ⋮ Completely indecomposable modules over noncommutative rings ⋮ The torsion submodule splits off ⋮ Singular and nonsingular modules relative to a torsion theory ⋮ Rings with zero singular ideal ⋮ On reduced rank of triangular matrix rings ⋮ The structure of certain artinian rings with zero singular ideal ⋮ Embedding nonsingular modules in free modules ⋮ Orders in QF and QF 2 rings ⋮ Idealizers and hereditary Noetherian prime rings ⋮ Generalizing the Baer-Kaplansky theorem ⋮ Serial rings and subdirect products ⋮ Strong pretorsions and strong filters, modules, and rings of quotients ⋮ Strongly Prime Rings ⋮ Hereditary and semihereditary serial rings ⋮ On rings with envelopes and covers regarding to C3, D3 and flat modules ⋮ Extensions des anneaux presque-simples ⋮ On the existence of continous hulls ⋮ Anneaux fidelement representes sur leur socle droit
Cites Work