A Generalization of a theorem of chang
作者:
M. Domokos,
期刊:
Communications in Algebra
(Taylor Available online 1995)
卷期:
Volume 23,
issue 12
页码: 4333-4342
ISSN:0092-7872
年代: 1995
DOI:10.1080/00927879508825467
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Szigeti, Tuza and Révész have developed a method in [6] to obtain polynomial identities for the n×n matrix ring over a commutative ring starting from directed Eulerian graphs. These polynomials are called Euler-ian. In the first part of this paper we show some polynomials that are in the T-ideal generated by a certain set of Eulerian polynomials, hence we get some identities of the n×n matrices. This result is a generalization of a theorem of Chang [l]. After that, using this theorem, we show that any Eulerian identity arising from a graph which lias d-fold multiple edges follows from the standard identity of degree d
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