Mathematicae General Algebra and Applications 22(2) (2002)
FROBENIUS n-GROUP ALGEBRAS
Faculty of Science, University of Montenegro
P.O. Box 211
Serbia and Montenegro
Frobenius algebras play an important role in the representation theory of finite groups. In the present work,
we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of
ring, we can obtain some information about constructions of module category over this ring (, p. 66-67).
Keywords: n-ary group (n-group, polyadic group), (2,n)-ring, n-group-ring (algebra), (quasi-)
Frobenius property, Artinianity property, regular bilinear from, descending chain condition for left (right)
ideals, univeral enveloping (or covering) group, annhilator.
2000 Mathematics Subject Classification: 20N15, 20C05, 20C07, 16S34, 17A40.
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Received 1 July 2002
Revised 20 February 2003