Some results about modules over discrete Hodge algebras

DOI10.1007/BF01160465zbMath0564.13012MaRDI QIDQ1057944

Satyagopal Mandal

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173625

zbMATH Keywords

Krull dimensionSerre conjecturebasic elementcancellation of modulesEisenbud-Evans conjecturesmodules over discrete Hodge algebrasnumber of generating elementsprojective modules over polynomial rings

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (7)

Quadratic spaces over discrete Hodge algebras ⋮ Projective modules and orbit space of unimodular rows over discrete Hodge algebras over a non-Noetherian ring ⋮ Efficient generation of ideals in a discrete Hodge algebra ⋮ Non-noetherian versions of some conjectures by eisenbud-evans ⋮ Efficient generation of ideals and an analogue of a result of Mohan Kumar ⋮ Some properties of projective modules over discrete Hodge algebras ⋮ Isotropic reductive groups over discrete Hodge algebras

Cites Work

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• Some theorems about projective modules over polynomial rings
• Some theorems on generation of ideals in affine algebras
• Cohen-Macaulay quotients of polynomial rings
• On two conjectures about polynomial rings
• The Serre problem for discrete Hodge algebras
• Generating modules efficiently: Theorems from algebraic K-theory
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• The number of generators of a module
• The Conjectures of Eisenbud and Evans
• Projective Modules over Laurent Polynomial Rings
• Introduction to Algebraic K-Theory. (AM-72)

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