ISSN:0092-7872    

DOI:10.1080/00927879008824062

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1990

数据来源: Taylor

摘要:

The usual definition of primeness for near-rings does not lead to a Kurosh-Amitsur radical class for zerosymmetric near-rings (cf. Kaarli and Kriis[5]). In this paper, we define equiprime near-rings, which are another generalization of primeness in rings. Various results are proved, amongst others, for zerosymmetric near-rings:If N is a near-ring and A ⊲ B ⊲ N such that B/A is equiprime, then A ⊲ N. We define.

ISSN:0092-7872    

DOI:10.1080/00927879008824063

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1990

数据来源: Taylor

摘要:

Let ø denote Euler’ totient function Consider the three equations kø(n) = n, kø(n) = n+1, and kø(n) = n-1. The first equation has been completely solved. The two latter equations are referred to as Lehmer' equations, and neither of these has been solved. We initiate the study of three ring-theoretic problems which generalize the preceding number-theoretic equations. Ultimately, we solve these three problems for the class of local rings with identity.

ISSN:0092-7872    

DOI:10.1080/00927879008824064

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824065

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1990

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879008824051

出版商:Gordon and Breach Science Publishers Ltd.    

年代:1990

数据来源: Taylor