Quasi-hereditary orders
type: Item
instance of: scholarly article
title: Quasi-hereditary orders
zbMATH Open document ID: 0706.16008
DOI: 10.1007/BF02568775
published in: Manuscripta Mathematica
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155538
review text: The concept of quasi-hereditary algebra is generalized to rings. This improves a previous definition for quasi-hereditary orders given by the author which comprises classical orders of global dimension two. Moreover, a recent definition of Cline, Parshall, and Scott (1989) which covers integral Schur algebras, is generalized by this new definition of the author. The concept of highest weight category is generalized and yields a class of classical orders which satisfy the new definition of quasi-heredity. It is proved that the category of good lattices over these orders admits almost split sequences.
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16G70
zbMATH DE Number: 4158873
zbMATH Keywords: quasi-hereditary orders
zbMATH Keywords: classical orders
zbMATH Keywords: global dimension
zbMATH Keywords: integral Schur algebras
zbMATH Keywords: highest weight category
zbMATH Keywords: almost split sequences
author: Steffen Koenig
reviewed by: Wolfgang Rump
MaRDI profile type: Publication
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OpenAlex ID: W2075663868
description: scientific article; zbMATH DE number 4158873