Flatness and invertibility of an ideal

DOI10.1080/00927879008824014zbMath0717.13001OpenAlexW2070206799MaRDI QIDQ3204576

Muhammad Zafrullah

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824014

zbMATH Keywords

Krull domainstar operationMori domainfractionary ideals*-ideal*-Prüfer domainDCG domain

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (9)

Ascending Nets of Prüfer V-Multiplication Domains ⋮ Module-Theoretic Characterizations of Generalized GCD Domains ⋮ Flat ideals and stability in integral domains ⋮ Integral domains having a unique Kronecker function ring ⋮ On w-modules over strong mori domains ⋮ On FF-rings ⋮ ON LCM-STABLE MODULES ⋮ Ont-invertibility III ⋮ The Bass-Quillen problem on a class of local rings with weak global dimension two

Cites Work

• Unnamed Item
• Flatness, LCM-stability, and related module-theoretic properties
• Flat ideals. II
• Ascending chain conditions and star operations
• On the Ideal Equation I(B ∩ C) = IB∩IC
• On the Criteria of D.D. Anderson for Invertible and Flat Ideals
• On generalized Dedekind domains
• On a property of pre-schreier domains

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