Regular Modules

DOI10.2307/1995726zbMath0227.16022OpenAlexW4253990091MaRDI QIDQ5634128

Julius M. Zelmanowitz

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1995726

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Other classes of modules and ideals in associative algebras (16D80) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items

J-primary submodules, On rings whose projective modules have the exchange property, MONOIDS OVER WHICH ALL REGULAR RIGHT S-ACTS ARE WEAKLY INJECTIVE, Generalizations of von Neumann regular rings, PP rings, and Baer rings, Unnamed Item, Characterization of monoids by properties of regular acts, Lattice properties of the minus order on regular modules, Rickart and dual Rickart objects in abelian categories, \(GF\)-regular modules., Unnamed Item, Rickart and dual Rickart objects in abelian categories: transfer via functors, Relative regular objects in categories., Regular multiplication modules, On \(\mathcal T\)-\(\delta\)-noncosingular modules, Semipotency and the total of rings and modules., Rings all of whose finitely generated ideals are automorphism-invariant, CS-Rickart and dual CS-Rickart objects in abelian categories, On regularity and intra regularity of the components of a Morita context of monoids, On regular modules over commutative rings, Relative regular modules. Applications to von Neumann regular rings., Regular substructures of Hom., Weakly-morphic modules, UNIT-REGULAR MODULES, Unnamed Item, On M-coidempotent elements and fully coidempotent modules, Dual automorphism-invariant modules., (Sigma-) algebraic compactness of rings, Minus partial order in regular modules, Stable modules and a theorem of Camillo and Yu., Strongly Rickart objects in abelian categories, C4- and D4-Modules via perspective direct summands, Fully idempotent homomorphisms., Modules over endomorphism rings. II, Unnamed Item, F-semiperfekte und perfekte Moduln in sigma[M], Mittag-Leffler modules, reduced products, and direct products, Primitive submodules, co-semisimple and regular modules, Formal matrices and rings close to regular, PS-modules over Ore extensions and skew generalized power series rings, A partial order on subsets of Baer bimodules with applications to C∗-modules, ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS, Homomorphisms close to regular and their applications., Endomorphism rings of modules and lattices of submodules, Strong lifting splits., On modules over group rings., Pure submodules of direct products of free modules, A Jordan canonical form for nilpotent elements in an arbitrary ring, On (semi)regularity and the total of rings and modules., Diagonal reduction of matrices over commutative semihereditary Bezout rings, Module-theoretic generalization of commutative von Neumann regular rings, Regular morphisms in abelian categories, Rings with Projective Socle, A note on regular modules, Characterizations of monoids by regular acts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projective modules
• On the free product of associative rings
• Pure theories
• Direct Products of Modules
• Imbedding a Regular Ring in a Regular Ring with Identity
• Endomorphism Rings of Ideals in a Commutative Regular Ring
• Commutative Endomorphism Rings
• Endomorphism Rings of Projective Modules