Weak Global Dimension of Prüfer-Like Rings

DOI10.1007/978-1-4939-0925-4_1zbMath1325.13020arXiv1601.07657OpenAlexW77679954MaRDI QIDQ2948992

K. Adarbeh, Salah-Eddine Kabbaj

Publication date: 7 October 2015

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

Full work available at URL: https://arxiv.org/abs/1601.07657

zbMATH Keywords

Prüfer ringtrivial extensionsemihereditary ringarithmetical ringGaussian ringweak global dimensionquasi-projective modulefqp-ring

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Free, projective, and flat modules and ideals in associative algebras (16D40) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13) Galois theory and commutative ring extensions (13B05)

Cites Work

• Commutative rings in which every finitely generated ideal is quasi-projective
• Gaussian properties of total rings of quotients
• Trivial extensions defined by Prüfer conditions
• Local-global results for modules over algebras and Azumaya rings
• Rings for which every cyclic module is quasi-projective
• On quasi-projective modules via relative projectivity
• Über die Ideale arithmetischer Ringe
• Trivial Extensions Defined by Coherent-like Conditions
• The weak dimensions of Gaussian rings
• Quasi-projective modules with the finite exchange property
• Arithmetical rings
• Global Dimension of Commutative Rings with Linearly Ordered Ideals
• Prüfer rings with zero divisors.
• Prüfer rings
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