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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample in Jacobson radicals


Author: Phillip Schultz
Journal: Proc. Amer. Math. Soc. 122 (1994), 961-964
MSC: Primary 16N20; Secondary 20K10
MathSciNet review: 1260180
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Abstract: A plausible conjecture states that an element of the Jacobson radical of the endomorphism ring of an abelian p-group increases the height of any non-zero element of the socle. I construct a counter-example.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1260180-2
PII: S 0002-9939(1994)1260180-2
Article copyright: © Copyright 1994 American Mathematical Society