Discussiones Mathematicae General Algebra and Applications 22(2) (2002) 153-159
doi: 10.7151/dmgaa.1054

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Biljana Zeković

Faculty of Science, University of Montenegro
P.O. Box 211
8-1000 Podgorica
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 ([2], 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