Polynomial identity ring
id:
polynomial-identity-ring-297-16489692
title:
Polynomial identity ring
text:
In ring theory, a branch of mathematics, a ring R is a polynomial identity ring if there is, for some N > 0, an element P ≠ 0 of the free algebra, Z⟨X1, X2, ..., XN⟩, over the ring of integers in N variables X1, X2, ..., XN such that for all N-tuples r1, r2, ..., rN taken from R. Strictly the Xi here are "non-commuting indeterminates", and so "polynomial identity" is a slight abuse of language, since "polynomial" here stands for what is usually called a "non-commutative polynomial". The abbrevia
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Polynomial_identity_ring
date created:
date modified:
2022-03-02T20:24:16Z
main entity:
{"identifier":"Q7226641","url":"https://www.wikidata.org/entity/Q7226641"}
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13
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