Serial rings
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Publication:2544632
DOI10.1016/0021-8693(71)90020-2zbMath0212.37502OpenAlexW4212933227WikidataQ101085763 ScholiaQ101085763MaRDI QIDQ2544632
David Eisenbud, Phillip Griffith
Publication date: 1971
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(71)90020-2
Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)
Related Items (50)
Wild torsion modules over Weyl algebras and general torsion modules over HNPs ⋮ Serial rings with krull dimension ⋮ Global dimension of quasihereditary serial rings ⋮ Serial group rings of classical groups defined over fields with an odd number of elements ⋮ Free 2-step nilpotent Lie algebras and indecomposable representations ⋮ Valued Gabriel quiver of a wedge product and semiprime coalgebras. ⋮ Simple modules over hereditary Noetherian prime rings ⋮ Uniserial dimension of modules. ⋮ Quasi-Artin species and rings of finite representation type ⋮ ℵ0-Distributive modules and rings ⋮ Self-duality and serial rings ⋮ Quasiprojective modules ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ Semiprojective modules ⋮ On a preprojective ∗-module ⋮ State spaces of \(K_ 0\) of Noetherian rings ⋮ On a Warfield's theorem on hereditary rings ⋮ Serial coalgebras. ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Hereditary Noetherian prime rings. III: Infinitely generated projective modules ⋮ Serial coalgebras and their valued Gabriel quivers. ⋮ Arithmetical rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Serial group rings of finite groups. Sporadic simple groups and Suzuki groups ⋮ Restricted Lie algebras with bounded cohomology and related classes of algebras ⋮ MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS ⋮ Serial group rings of finite simple groups of Lie type ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Green correspondence between blocks with cyclic defect groups. I ⋮ Serial rings and finitely presented modules ⋮ Localization and completion of fbn hereditary rings ⋮ When the group ring of a finite simple group is serial ⋮ A new proof of a theorem of Michler ⋮ Extensions of automorphisms of submodules. ⋮ Noetherian prime rings of krull dimension one ⋮ Semidistributive modules ⋮ Sometimes Only Square Matrices can be Diagonalized ⋮ Hereditary Noetherian prime rings ⋮ Self-duality for rings related to skew polynomials ⋮ Classification of finite dimensional uniserial representations of conformal Galilei algebras ⋮ Idealizers and hereditary Noetherian prime rings ⋮ Serial rings and subdirect products ⋮ Hereditary Noetherian rings ⋮ Left generalized uniserial rings ⋮ Moduln über einreihigen Ringen ⋮ Hereditary Noetherian prime rings. I: Integrality and simple modules ⋮ Hereditary Noetherian prime rings. II: Finitely generated projective modules ⋮ Modules which are invariant under nilpotents of their envelopes and covers ⋮ A new characterisation of hereditary PI rings
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