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Groups Admitting only Finitely Many Nilpotent Ring Structures

Published online by Cambridge University Press:  20 November 2018

Shalom Feigelstock
Shalom Feigelstock*
Affiliation:
Bar-Ilan University, Ramat-Gaz, Israel
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Abstract

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The abelian groups which are the additive groups of only finitely many non-isomorphic (associative) nilpotent rings are studied. Progress is made toward a complete classification of these groups. In the torsion free case, the actual number of non-isomorphic nilpotent rings these groups support is obtained.

Keywords

20K99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 197 - 203
Copyright
Copyright © Canadian Mathematical Society 1986

References

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