Generating set of a module
id:
generating-set-of-a-module-254-3292884
title:
Generating set of a module
text:
In mathematics, a generating set Γ of a module M over a ring R is a subset of M such that the smallest submodule of M containing Γ is M itself. The set Γ is then said to generate M. For example, the ring R is generated by the identity element 1 as a left R-module over itself. If there is a finite generating set, then a module is said to be finitely generated. This applies to ideals, which are the submodules of the ring itself. In particular, a principal ideal is an ideal that has a generating se
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in mathematics
original url:
https://en.wikipedia.org/wiki/Generating_set_of_a_module
date created:
date modified:
2023-08-12T20:43:43Z
main entity:
{"identifier":"Q25106477","url":"https://www.wikidata.org/entity/Q25106477"}
image:
fields total:
13
integrity:
14