Radical theory in varieties of near-rings in which the constants form
作者:
Y. Fong,
S. Veldsman,
R. Wiegandt,
期刊:
Communications in Algebra
(Taylor Available online 1993)
卷期:
Volume 21,
issue 9
页码: 3369-3384
ISSN:0092-7872
年代: 1993
DOI:10.1080/00927879308824735
出版商: Gordon and Breach Science Publishers Ltd.
关键词: Primary:16Y30;Secondary:16N80
数据来源: Taylor
摘要:
Not all the good properties of the Kurosh-Amitsur radical theory in the variety of associative rings are preserved in the bigger variety of near-rings. In the smaller and better behaved variety of O-symmetric near-rings the theory is much more satisfactory. In this note we show that many of the results of the 0-symmetric near-ring case can be extended to a much bigger variety of near-rings which, amongst others, includes all the O-symmetric as well as the constant near-rings. The varieties we shall consider are varieties of near-rings, called Fuchs varieties, in which the constants form an ideal. The good arithmetic of such varieties makes it possible to derive more explicit conditions.
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