Prinjective modules, propartite modules, representations of bocses and lattices over orders
type: Item
instance of: scholarly article
title: Prinjective modules, propartite modules, representations of bocses and lattices over orders
zbMATH Open document ID: 0937.16019
author: Daniel Simson
published in: Journal of the Mathematical Society of Japan
publication date: 2000-03-13T00:00:00Z
review text: A bipartite algebra by definition has the form \(R=\left(\begin{smallmatrix} A &_AM_B\\ 0 &B\end{smallmatrix}\right)\) where \(A\) and \(B\) are \(K\)-algebras and \(_AM_B\) is a bimodule. An \(R\)-module is a triple \((X_A,Y_B,\varphi)\). It is called prinjective if \(X_A\) is \(A\)-projective and \(Y_B\) is \(B\)-injective. It is called propartite if \(X_A\) is \(A\)-projective and \(Y_B\) is \(B\)-projective. The author studies representation theoretic properties of categories of propartite modules. Moreover, he relates them to prinjective modules, to representations of bocses and to lattices over orders.
Mathematics Subject Classification ID: 16G30
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 18G05
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1172183
zbMATH Keywords: prinjective modules
zbMATH Keywords: categories of propartite modules
zbMATH Keywords: tame algebras
zbMATH Keywords: wild algebras
zbMATH Keywords: bimodules
zbMATH Keywords: representations of bocses
zbMATH Keywords: lattices over orders
reviewed by: Steffen Koenig
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04910031
OpenAlex ID: W2028618202
DOI: 10.2969/JMSJ/04910031
description: scientific article; zbMATH DE number 1172183