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:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
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
Rocky Mountain Journal of Mathematics