On the class group of a graded domain
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Publication:1612119
DOI10.1016/S0022-4049(01)00146-3zbMath1058.13006arXivmath/0606693MaRDI QIDQ1612119
Saïd El Baghdadi, Lahoucine Izelgue, Salah-Eddine Kabbaj
Publication date: 22 August 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0606693
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Cites Work
- Unnamed Item
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- Unnamed Item
- The class group of \(D+M\)
- On \(\text{Pic}(R[X)\) for \(R\) seminormal]
- Divisorial ideals and invertible ideals in a graded integral domain
- Grothendieck groups and Picard groups of abelian group rings
- On t-invertibility II
- Φ: Pic (R0)→HPic (R) is not necessarily surjective
- Torsion-free Abelian Semigroup Rings VI
- On divisorial ideals in polynomial rings over mori domains
- Divisibility Properties of Graded Domains
- Krull Semigroups and Divisor Class Groups
- On Algebraic Properties of Infinite Group Rings
- Graded krull domains