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Decomposability of finite rings

Published online by Cambridge University Press:  09 April 2009

Diane Mainwaring  and
K. R. Pearson
Diane Mainwaring
Affiliation:
La Trobe UniversityBundoora, Victoria 3083, Australia
K. R. Pearson
Affiliation:
La Trobe UniversityBundoora, Victoria 3083, Australia
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Abstract

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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.

Keywords

Finite ringdecomposablenilpotent p-ringgroup of units.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 2 , September 1979 , pp. 136 - 138
Copyright
Copyright © Australian Mathematical Society 1979

References

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