A counterexample in Jacobson radicals

Schultz, Phillip

doi:10.1090/S0002-9939-1994-1260180-2

A counterexample in Jacobson radicals
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by Phillip Schultz PDF

Proc. Amer. Math. Soc. 122 (1994), 961-964 Request permission

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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