Frobenius n-group algebras

• Autorzy: Biljana Zeković
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

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

Kategorie tematyczne

• 20N15: n -ary systems ( n ≥ 3 )
• 17A40: Ternary compositions
• 16S34: Group rings , Laurent polynomial rings
• 20C07: Group rings of infinite groups and their modules
• 20C05: Group rings of finite groups and their modules

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 153-159

Daty

wydano

2002

otrzymano

2002-06-01

otrzymano

2003-02-20

Twórcy

autor

Biljana Zeković

• Faculty of Science, University of Montenegro, P.O. Box 211, 8-1000 Podgorica, Serbia and Montenegro

Bibliografia

• [1] V.A. Artamonov, Free n-groups (Russian), Mat. Zametki 8 (1970), 499-507.
• [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.
• [4] E.L. Post, Polyadic groups, Trans. Amer. Math. Soc. 48 (1940), 208-350.
• [5] B. Zeković and V.A. Artamonov, n-Group rings and their radicals (Russian), Abelian Groups and Modules (Tomsk), 11 (1992), 3-7 (in Russian).
• [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.

Identyfikatory

DOI

10.7151/dmgaa.1054