The Braun-Kemer-Razmyslov Theorem for affine PI-algebras
Alexei Kanel Belov, Louis Rowen
TL;DR
This paper provides a comprehensive combinatorial proof of the Braun-Kemer-Razmyslov Theorem applicable to affine PI-algebras over any commutative Noetherian ring, expanding understanding of polynomial identities.
Contribution
It offers a self-contained, combinatorial exposition of the theorem, broadening its applicability beyond previous restrictions.
Findings
The theorem holds over arbitrary commutative Noetherian rings.
The combinatorial proof simplifies understanding of affine PI-algebras.
The work extends the theorem's applicability to a wider class of rings.
Abstract
A self-contained, combinatoric exposition is given for the Braun-Kemer-Razmyslov Theorem over an arbitrary commutative Noetherian ring.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras