Piecewise domains

DOI10.1016/0021-8693(72)90121-4zbMath0244.16008OpenAlexW4212950177MaRDI QIDQ2554751

Robert Gordon, Lance W. Small

Publication date: 1972

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90121-4

Mathematics Subject Classification ID

Conditions on elements (16U99) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (45)

Semihereditary semichain rings ⋮ Algebras whose projective modules are reflexive ⋮ Rings for which certain modules are \(CS\) ⋮ On prime ideals in hereditary PI-rings ⋮ σ-cs-modules ⋮ Triangulating dimension of skew generalized power series rings ⋮ Noetherian diserial rings ⋮ Structure of projectively stable Artinian rings ⋮ Finite Σ-Rickart modules ⋮ The structure of qf-3 rings with zero singular ideal^(∗) ⋮ Pp rings integral over their centres ⋮ Triangular matrix representation of differential polynomial rings ⋮ Triangular matrix representations of ring extensions. ⋮ Hereditary Finitely Generated Algebras Satisfying a Polynomial Identity ⋮ Semiprime FDI-rings ⋮ Right hereditary affine PI rings are left hereditary ⋮ When is the ring a projective module over the fixed point ring? ⋮ Multiserial rings ⋮ On the structure of splitting rings ⋮ THE FACTOR RING OF A QUASI-BAER RING BY ITS PRIME RADICAL ⋮ Two results on p.p. rings ⋮ PRINCIPALLY QUASI-BAER RINGS ⋮ Quotient rings of finitely generated P.I. Algebras ⋮ Torsionless modules over 1-gorensteinl-hereditary artinian rings ⋮ TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Associative rings ⋮ A note on hereditary rings ⋮ Triangular matrix representations of rings of generalized power series. ⋮ On the structure of certain PP-rings ⋮ On the Global Dimension of a Ring Modulo its Nilpotent Radical ⋮ The Structure of Semiprimary and Noetherian Hereditary Rings ⋮ Rings with finite decomposition of identity. ⋮ Global dimensions of a class of tiled orders ⋮ Semiprime rings with Krull dimension are Goldie ⋮ Quivers of associative rings. ⋮ On the centre of a hereditary p.i . algebra ⋮ Generalized Munn rings ⋮ Triangular matrix representations ⋮ Hereditary finitely generated P.I. algebras ⋮ Exchange property and the natural preorder between simple modules over semi-Artinian rings ⋮ Ideals in prime singular splitting rings ⋮ Indecomposable decomposition and couniserial dimension ⋮ Self-adjoint ideals in baer *-rings ⋮ Hereditary rings integral over their centers ⋮ Subidealizer rings and the splitting properties

Cites Work

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• Free ideal rings
• Orders in Artinian rings
• Structure of semi-perfect hereditary noetherian rings
• On the global dimension of residue rings
• Hereditary Noetherian prime rings
• Torsion-Free and Divisible Modules Over Non-Integral-Domains
• A Generalization of the Ring of Triangular Matrices
• HEREDITARY RINGS
• Semihereditary rings
• A Change of Rings Theorem
• Idempotent Ideals in Perfect Rings
• On Maximally Central Algebras

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