Group action on polynomial and power series rings

DOI10.2140/pjm.2000.195.225zbMath1030.13002OpenAlexW1979446484MaRDI QIDQ1587565

Peter Symonds

Publication date: 3 December 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2000.195.225

zbMATH Keywords

ring of invariantspolynomial ringautomorphismsHilbert polynomialprojective modulepower series ringsgraded integral domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Actions of groups on commutative rings; invariant theory (13A50) Graded rings (13A02) Integral domains (13G05) Formal power series rings (13F25)

Related Items (6)

Structure theorems over polynomial rings ⋮ The asymptotic behavior of Frobenius direct images of rings of invariants ⋮ Galois structure of homogeneous coordinate rings ⋮ The module structure of a group action on a polynomial ring: A finiteness theorem ⋮ \(K\)-stability of cubic threefolds ⋮ The module structure of a group action on a polynomial ring

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