On fully invariant ideals

of the free group algebra

Authors:
A. N. Krasil'nikov and Samuel M. Vovsi

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2613-2618

MSC (1991):
Primary 16S34, 20C07

MathSciNet review:
1343706

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the group algebra of a free noncyclic group over an integral domain . It is proved that if is not a field, then there exists a fully invariant ideal of such is torsion-free but not projective as an -module. In other words, there exists a pure nonprojective variety of group representations over .

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Additional Information

**A. N. Krasil'nikov**

Affiliation:
Department of Algebra, Moscow State Pedagogical University, Moscow 119882, Russia

Email:
krasilnikov.algebra@mpgu.msk.su

**Samuel M. Vovsi**

Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540

Email:
vovsi@math.ias.edu, vovsi@math.rutgers.edu

DOI:
https://doi.org/10.1090/S0002-9939-96-03502-2

Received by editor(s):
July 18, 1994

Additional Notes:
The first author’s research was partially supported by RFFR Grant 93-011-1541 and ISF Grant MID 000. This paper was prepared while the second author was visiting the Institute for Advanced Study, whose hospitality is gratefully acknowledged

Communicated by:
Ronald Solomon

Article copyright:
© Copyright 1996
American Mathematical Society