Invariant factor
id:
invariant-factor-201-4411854
title:
Invariant factor
text:
The invariant factors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a principal ideal domain. If R is a PID and M a finitely generated R -module, then for some integer r ≥ 0 and a list of nonzero elements a 1 , … , a m ∈ R for which a 1 ∣ a 2 ∣ ⋯ ∣ a m . The nonnegative integer r is called the free rank or Betti number of the module M , while a 1 , … , a m are the invariant factors of M and are unique up to associat
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Invariant_factor
date created:
date modified:
2023-08-12T18:54:59Z
main entity:
{"identifier":"Q6059514","url":"https://www.wikidata.org/entity/Q6059514"}
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13
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13