Quotient (universal algebra)
id:
quotient-universal-algebra-234-9368909
title:
Quotient (universal algebra)
text:
In mathematics, a quotient algebra is the result of partitioning the elements of an algebraic structure using a congruence relation.
Quotient algebras are also called factor algebras. Here, the congruence relation must be an equivalence relation that is additionally compatible with all the operations of the algebra, in the formal sense described below.
Its equivalence classes partition the elements of the given algebraic structure. The quotient algebra has these classes as its elements, and the
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wiki
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encyclopedia
description:
Result of partitioning the elements of an algebraic structure using a congruence relation
original url:
https://en.wikipedia.org/wiki/Quotient_(universal_algebra)
date created:
date modified:
2023-01-29T07:09:06Z
main entity:
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13
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