Polynomial identities of Euler's graphs and matrix rings.
type: Item
instance of: scholarly article
title: Polynomial identities of Euler's graphs and matrix rings.
zbMATH Open document ID: 1110.16021
author: Y. M. Zheng
author: Songfa You
published in: Southeast Asian Bulletin of Mathematics
publication date: 2006-10-24T00:00:00Z
review text: Let \(R\) be the ring of the \(n\times n\) matrices over a fixed commutative ring with 1. The classical theorem due to Amitsur and Levitzki states that the polynomial identity of the least degree for \(R\) is the standard polynomial \(s_{2n}\). There are several proofs to this theorem. One was proposed by Swan and relies on properties of finite graphs. The authors of the paper under review develop ideas from the proof of Swan and obtain several identities for \(R\).
Mathematics Subject Classification ID: 16R20
zbMATH DE Number: 5066685
zbMATH Keywords: Eulerian graphs
zbMATH Keywords: Eulerian paths
zbMATH Keywords: Amitsur-Levitzki theorem
reviewed by: Plamen Koshlukov
MaRDI profile type: Publication
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description: scientific article