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On incidence rings of group automata

Published online by Cambridge University Press:  17 April 2009

A. V. Kelarev
A. V. Kelarev
Affiliation:
Department of Mathematics, University of Tasmania, G.P.O. Box 252–37, Hobart, Tasmania 7001, Australia, e-mail: Andrei.Kelarev@utas.edu.au
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Abstract

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For all finite p-groups, we describe the Jacobson radicals of incidence rings of group automata.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 407 - 411
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Gardner, B.J., Radical theory, Pitman Research Notes in Mathematics 198 (Longman Scientific & Technical, Harlow, 1989).Google Scholar
[2]Ito, M., Algebraic theory of automata and languages (World Scientific„ 2001).Google Scholar
[3]Kelarev, A.V., Ring constructions and applications, Series in Algebra 9 (World Scientific, River Edge, N.J., 2002).Google Scholar
[4]Lidle, R. and Pilz, G., Applied abstract algebra (Springer-Verlag, New York, 1998).CrossRefGoogle Scholar
[5]Passman, D.S., The algebraic structure of group rings (J. Wiley & Sons, London, Sydney, 1977).Google Scholar
[6]Plotkin, B.I., Greenglaz, L.Ja. and Gvaramija, A.A., Algebraic structures in automata and database theory (World Scientific, River Edge, N.J., 1992).CrossRefGoogle Scholar
[7]Rozenberg, G. and Salomaa, A. (Editors), Handbook of formal languages, Vol. 1, 2, 3, (Springer-Verlag, Berlin, 1997).Google Scholar
[8]Spiegel, E. and O'Donnell, C.J., Incidence algebras, Monographs and Textbooks in Pure and Applied Mathematics 206 (Marcel Dekker, New York, 1997).Google Scholar