Decomposability of finite rings

Journal of the Australian Mathematical Society

Diane Mainwaring¹ 

[1] K. R. Pearson

关键词: Finite ring;    decomposable;    nilpotent p-ring;    group of units.;   

DOI  :  10.1017/S1446788700015639

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let p be a prime, let R be a finite p-ring with identity and suppose that the radical of R has pm elements. If R is indecomposable as a ring then there are at most m+1 minimal ideals in R/Rad R.1980 Mathematics subject classification (Amer. Math. Soc): 16 A 44.

【 授权许可】

Unknown