Geodesic
Frobenius n-group algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2, pp. 153-159.

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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 
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Zeković, Biljana. Frobenius n-group algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 2, pp. 153-159. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_2_a4/

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[2] L.A. Bokut, I.V. L'vov and V.K. Kharchenko, Nonkommutative Rings (Russian), vol. 18 of 'Itogi Nauki i Tekhniki', Izdat. VINITI, Moscov 1988.

[3] A.G. Kurosh, General Algebra. - Lectures of the 1969-1970 Academic Year (Russian), Izdat, 'Nauka', Moscov 1974.

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[6] B. Zeković and V.A. Artamonov, Connections betweem some properties of n-group rings and group rings (Russian), Math. Montisnigri 11 (1999), 151-158.