### Commutative group algebras whose quotient rings by nilradicals are generated by idempotents

Hideyasu Kawai and Nobuharu Onoda
Source: Rocky Mountain J. Math. Volume 41, Number 1 (2011), 229-238.
First Page:
Primary Subjects: 20C07
Secondary Subjects: 16S34
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Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1297088423
Digital Object Identifier: doi:10.1216/RMJ-2011-41-1-229
Zentralblatt MATH identifier: 05858887
Mathematical Reviews number (MathSciNet): MR2845942

### References

I. Kaplansky, Infinite Abelian groups, University of Michigan Press, Ann Arbor, 1969.
Mathematical Reviews (MathSciNet): MR233887
G. Karpilovsky, Commutative group algebras, Dekker, New York, 1983.
Mathematical Reviews (MathSciNet): MR704185
H. Kawai, Algebras generated by idempotents and commutative group algebras over a ring, Comm. Algebra 30 (2002), 119-128.
Mathematical Reviews (MathSciNet): MR1880664
Zentralblatt MATH: 1003.16015
Digital Object Identifier: doi:10.1081/AGB-120006482
–––, Conditions for a product of residue-class rings of a ring to be generated by a $p$-group of units, Comm. Algebra 33 (2005), 371-379.
Mathematical Reviews (MathSciNet): MR2124333
Zentralblatt MATH: 1070.16029
Digital Object Identifier: doi:10.1081/AGB-200047399
H. Kawai and N. Onoda, Commutative group algebras generated by idempotents, Toyama Math. J. 28 (2005), 41-54.
Mathematical Reviews (MathSciNet): MR2224017
Zentralblatt MATH: 1100.16022
H. Matsumura, Commutative algebra, Benjamin, New York, 1970.
Mathematical Reviews (MathSciNet): MR266911