Coherence in cartesian squares

DOI10.1016/0021-8693(78)90170-9zbMath0374.13008OpenAlexW1977647353MaRDI QIDQ1245264

Brian Greenberg

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90170-9

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Polynomials over commutative rings (13B25) Power series rings (13J05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

Coherence conditions in flat regular pullbacks, Projective modules over pullback rings, Integrally closed factor domains, Star operations and pullbacks., Generalized umbrella rings, Nearly integral homomorphisms of commutative rings, Relative coherent modules, A GENERALIZATION OF PRÜFER'S ASCENT RESULT TO NORMAL PAIRS OF COMPLEMENTED RINGS, Where some inert minimal ring extensions of a commutative ring come from. II, Modules, Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from, Sur quelques classes d’anneaux divisés

Cites Work

• Conductor, projectivity and injectivity
• Global dimension of cartesian squares
• \(D+M\) constructions with general overrings
• Divided rings and going-down
• Retracts of polynomial rings
• Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular
• The construction \(D+XD_s[X\)]
• Flat idelas i
• When is D + M Coherent?
• Coherence of Polynomial Rings
• On the Global Dimensions of D+M
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• The Homological Dimensions of Symmetric Algebras
• Autour de la platitude
• Monomorphismes et morphismes absolument plats
• The Local Rings of Global Dimension Two
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