Algebraically compact module
id:
algebraically-compact-module-248-1304385
title:
Algebraically compact module
text:
In mathematics, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms. These algebraically compact modules are analogous to injective modules, where one can extend all module homomorphisms. All injective modules are algebraically compact, and the analogy
brand slug:
wiki
category slug:
encyclopedia
description:
Module such that infinite systems of linear equations can be solved by solving finite subsystems
original url:
https://en.wikipedia.org/wiki/Algebraically_compact_module
date created:
date modified:
2023-05-23T18:08:12Z
main entity:
{"identifier":"Q4724027","url":"https://www.wikidata.org/entity/Q4724027"}
image:
fields total:
13
integrity:
14