Recovering divisor classes via their \((T)\)-adic filtrations

DOI10.1016/S0022-4049(96)00182-XzbMath0939.13004MaRDI QIDQ1295513

Claudia M. Miller

Publication date: 17 April 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

divisor class groupmaximal Cohen-Macaulay modulesadic filtrations

Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Topological rings and modules (13J99) Cohen-Macaulay modules (13C14) Class groups (13C20)

Related Items

Restriction of divisor classes to hypersurfaces in characteristic \(p\) ⋮ The limiting behavior on the restriction of divisor classes to hypersurfaces. ⋮ Approximate liftings in local algebra and a theorem of Grothendieck ⋮ Torsion in kernels of induced maps on divisor class groups

Cites Work

• Restrictions of torsion divisor classes to hypersurfaces
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Rings with Discrete Divisor Class Group: Theorem of Danilov-Samuel
• The Brauer Group of a Commutative Ring
• Sur les anneaux factoriels
• ON A CONJECTURE OF SAMUEL
• RINGS WITH A DISCRETE GROUP OF DIVISOR CLASSES
• ON RINGS WITH A DISCRETE DIVISOR CLASS GROUP
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