|
Group algebras with units satisfying a group identity II
Author(s):
Chia-Hsin
Liu;
D.
S.
Passman
Journal:
Proc. Amer. Math. Soc.
127
(1999),
337-341.
MSC (1991):
Primary 16S34
MathSciNet review:
1476375
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We classify group algebras of torsion groups over a field of characteristic  with units satisfying a group identity.
References:
- [Coe82]
- Sônia P. Coelho, Group rings with units of bounded exponent over the center, Can. J. Math. 34 (1982), no. 6, 1349-1364. MR 84c:16014
- [GJV94]
- A. Giambruno, E. Jespers, and A. Valenti, Group identities on units of rings, Arch. Math. (Basel) 63 (1994), no. 4, 291-296. MR 95h:16044
- [GSV97]
- A. Giambruno, S. Sehgal, and A. Valenti, Group algebras whose units satisfy a group identity, Proc. Amer. Math. Soc. 125 (1997), no. 3, 629-634. MR 97f:16056
- [Liu]
- Chia-Hsin Liu, Group algebras with units satisfying a group identity, Proc. Amer. Math. Soc. (this issue) CMP 98:03
- [Pas85]
- D. S. Passman, The algebraic structure of group rings, Robert E. Krieger, Malabar, 1985. MR 86j:16001
- [Pas97]
- D. S. Passman, Group algebras whose units satisfy a group identity II, Proc. Amer. Math. Soc. 125 (1997), no. 3, 657-662. CMP 97:05
- [Row91]
- L. H. Rowen, Ring theory, Academic Press, San Diego, 1991. MR 94e:16001
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
16S34
Retrieve articles in all Journals with
MSC (1991):
16S34
Additional Information:
Chia-Hsin
Liu
Affiliation:
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
Email:
chliu@math.wisc.edu
D.
S.
Passman
Affiliation:
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
Email:
passman@math.wisc.edu
DOI:
10.1090/S0002-9939-99-04684-5
PII:
S 0002-9939(99)04684-5
Keywords:
Group algebras,
units,
group identities
Received by editor(s):
May 15, 1997
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1999,
American Mathematical Society
|
