Integral Domains in Which Nonzero Locally Principal Ideals are Invertible
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Publication:3015078
DOI10.1080/00927870903529689zbMath1225.13001OpenAlexW2045963233MaRDI QIDQ3015078
Muhammad Zafrullah, Daniel D. Anderson
Publication date: 8 July 2011
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870903529689
Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
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Cites Work
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- \(t\)-invertibility and Bazzoni-like statements
- Bazzoni's conjecture
- Commutative rings in which every ideal is a product of primary ideals
- On primary factorizations
- The construction \(D+XD_s[X\)]
- On t-invertibility II
- Clifford semigroups of ideals in monoids and domains
- Star-operations induced by overrings
- A characterization of cancellation ideals
- Groups in the class semigroup of a prüfer domain of finite character
- Agreeable domains
- t-class semigroups of integral domains
- Some Results on v-Multiplication Rings
- An Essential Ring Which is Not A v-Multiplication Ring
- Clifford regular domains
