关于n-约当同态的一些结果

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B180719

J. Cheshmavar, S. Hosseini, Choonkill Park

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引用次数: 3

摘要

为了推广交换代数上的Zelasko定理，在[2]中证明了如果n∈{3,4}是固定的，则A,B是交换代数，且h: A→B是n- jordan同态，则h是n环同态。本文将此结果推广到所有n≥3的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SOME RESULTS ON n-JORDAN HOMOMORPHISMS

With the motivation to extend the Zelasko’s theorem on commutative algebras, it was shown in [2] that if n ∈ {3, 4} is fixed, A,B are commutative algebras and h : A → B is an n-Jordan homomorphism, then h is an n-ring homomorphism. In this paper, we extend this result for all n ≥ 3.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).