On the surjectivity of some trace maps
type: Item
instance of: scholarly article
title: On the surjectivity of some trace maps
zbMATH Open document ID: 0830.13004
DOI: 10.1007/BF02773679
published in: Israel Journal of Mathematics
publication date: 1994-06-19T00:00:00Z
review text: Let \(K\) be a commutative ring and let \(G\) be a finite group acting on \(K\) by ring-automorphisms. The author studies the trace map \(\text{tr}_G : K \to K^G\), \(x \mapsto \sum_{g \in G} g(x)\). His main result is: The trace map \(\text{tr}_G : K \to K^G\) is surjective if and only if the trace maps \(\text{tr}_P : K \to K^P\) are surjective, for every prime order subgroup \(P\) of \(G\).
Mathematics Subject Classification ID: 13A50
Mathematics Subject Classification ID: 16S35
zbMATH DE Number: 590940
zbMATH Keywords: invariant theory
zbMATH Keywords: skew group ring
zbMATH Keywords: ring-automorphisms
zbMATH Keywords: trace map
author: Eli Aljadeff
reviewed by: F. Pauer
MaRDI profile type: Publication
cites work: Homological duality for crossed products
cites work: Serre's Extension Theorem for Crossed Products
cites work: Q4129638
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cites work: Finite generalized crossed products over tame and maximal orders
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description: scientific article; zbMATH DE number 590940