Semihereditary rings

DOI10.1090/S0002-9904-1967-11812-3zbMath0149.28102OpenAlexW4233629991MaRDI QIDQ5528749

Lance W. Small

Publication date: 1967

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1967-11812-3

zbMATH Keywords

associative rings

Related Items (82)

Dual Rickart Modules ⋮ Balance in stable categories ⋮ Exact modules ⋮ Unnamed Item ⋮ On Annihilator Ideals of Pseudo-differential Operator Rings ⋮ Quasi-s.Baer and related modules ⋮ Rings in Which the Annihilator of an Ideal Is Pure ⋮ Integral semihereditary orders, extremality, and Henselization ⋮ Noncommutative Prüfer rings ⋮ On polynomials over Rickart rings and their generalizations. I. ⋮ On prime ideals in hereditary PI-rings ⋮ Ring hulls and applications. ⋮ Classification of split torsion torsionfree triples in module categories. ⋮ The regular algebra of a quiver. ⋮ Finite Σ-Rickart modules ⋮ The structure of qf-3 rings with zero singular ideal^(∗) ⋮ On right duo p.p. rings ⋮ Pp rings integral over their centres ⋮ Derived dualities induced by a 1-cotilting bimodule ⋮ Generalized Baer \(\ast \)-rings ⋮ Triangular matrix representations of ring extensions. ⋮ Hereditary Finitely Generated Algebras Satisfying a Polynomial Identity ⋮ On p.p. structural matrix rings. ⋮ Relation between balanced pairs and TTF triples ⋮ Characterizing rings in terms of the extent of the injectivity of their simple modules ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ Right hereditary affine PI rings are left hereditary ⋮ On a theorem of chatters¹ ⋮ V-Rings versus Σ-V rings ⋮ Σ-Rickart modules ⋮ On a Warfield's theorem on hereditary rings ⋮ A Note on the Global Dimension of Subrings ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Strongly Non-Singular Rings and Morita Equivalence ⋮ Modules over serial rings ⋮ Strongly flat modules and right noetherian chain domains ⋮ Two results on p.p. rings ⋮ Relative injectivity and chain conditions ⋮ Weighted noncommutative regular projective curves ⋮ Skew inverse Laurent series extensions of weakly principally quasi Baer rings ⋮ WEAKLY CONTINUOUS AND C2-RINGS ⋮ D3-Modules ⋮ PRINCIPALLY QUASI-BAER RINGS ⋮ Quotient rings of finitely generated P.I. Algebras ⋮ Maximal orders over valuation rings ⋮ TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS ⋮ A note on hereditary rings ⋮ A note on hereditary rings ⋮ Serial rings and finitely presented modules ⋮ TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS ⋮ Endo-principally quasi-Baer modules ⋮ Weakly principally quasi-Baer rings ⋮ Rings with countably many direct summands ⋮ Endomorphism rings of hereditary modules ⋮ p. p. rings and generalized p. p. rings ⋮ Quasi-Baer ring extensions and biregrular rings ⋮ On the structure of certain PP-rings ⋮ Sur les anneaux hereditaires ou semi-hereditaires ⋮ Baer and Quasi-Baer Properties of Skew Generalized Power Series Rings ⋮ Generalized Quasi-Baer Rings ⋮ K₁of Corner Skew Laurent Polynomial Rings and Applications ⋮ Skew-injective modules ⋮ Rings of quotients of some semiprime. P.I. rings ⋮ Nilpotente Elemente in Ringen von endlicher globaler Dimension ⋮ Anneaux de quotients et modules ∑(▵)-injectifs ⋮ A note on Noetherian orders in Artinian rings ⋮ Semihereditary endomorphism rings ⋮ Projective modules with prime endomorphism rings ⋮ Classical Quotient Rings and Ordinary Extensions of 2-Primal Rings ⋮ The Structure of Semiprimary and Noetherian Hereditary Rings ⋮ Rings with finite decomposition of identity. ⋮ Localisation in hereditary rings ⋮ Piecewise domains ⋮ Triangular matrix representations ⋮ Differential extensions of weakly principally quasi-Baer rings ⋮ Rings in which annihilators form a sublattice of the lattice of ideals ⋮ s.Baer and s.Rickart Modules ⋮ Fixed point rings of finite automorphism groups of hereditary finitely generated P.I. algebras ⋮ Generalized APP-Rings ⋮ On rings with envelopes and covers regarding to C3, D3 and flat modules ⋮ Rings over which all cyclic modules are poorly injective ⋮ Hereditary rings integral over their centers

Cites Work

• Unnamed Item
• Free ideal rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• A Generalization of the Ring of Triangular Matrices
• Nil Rings Satisfying Certain Chain Conditions
• HEREDITARY RINGS
• AN EXAMPLE IN NOETHERIAN RINGS

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