Local crossed-product orders of finite representation type
type: Item
instance of: scholarly article
title: Local crossed-product orders of finite representation type
zbMATH Open document ID: 0592.16023
DOI: 10.1016/0022-4049(86)90103-9
author: Th. Theohari-Apostolidi
published in: Journal of Pure and Applied Algebra
publication date: 1986-01-01T00:00:00Z
review text: L/K is a finite Galois extension, with Galois group G; S, R are the valuation rings of L, respectively K, R being a complete and discrete valuation ring. Finally, \(\alpha\) is a factor set on \(G\times G\), having values in the units of S. (S/R,\(\alpha)\) is the crossed product order, based on the free S-module with basis G. In the paper, necessary and sufficient conditions in order that (S/R,\(\alpha)\) be of finite representation type are established.
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 13F30
zbMATH DE Number: 3950763
zbMATH Keywords: valuation rings
zbMATH Keywords: crossed product order
zbMATH Keywords: finite representation type
reviewed by: T. Spircu
MaRDI profile type: Publication
full work available at URL: 0022-4049(86)90103-9
OpenAlex ID: W2061534014
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description: scientific article; zbMATH DE number 3950763