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Artinian rings, finite principal ideal rings and algebraic error-correcting codes

Published online by Cambridge University Press:  17 April 2009

Jilyana Cazaran
Jilyana Cazaran
Affiliation:
School of Mathematics and PhysicsUniversity of Tasmania, Hobart Campus, GPO Box 252-37, Hobart, Tas 7001, [email protected]
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 525 - 526
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Cazaran, J. and Kelarev, A.V., ‘Generators and weights of polynomial codes’, Arch. Math. 69 (1997), 479–486.CrossRefGoogle Scholar
[2]Cazaran, J. and Kelarev, A.V., ‘Semisimple Artinian graded rings’, Comm. Algebra (to appear).Google Scholar
[3]Cazaran, J. and Kelarev, A.V., ‘On finite principal ideal rings’, Acta Math. Univ. Comenian. (to appear).Google Scholar
[4]Gardner, B.J., Radical theory, Pitman Research Notes in Math. 198 (Wiley, New york, 1989).Google Scholar
[5]McDonald, B.R., Finite rings with identity, Pure and Applied Mathematics 28 (Marcel Dekker Inc., New York, 1974).Google Scholar
[6]Zel'manov, E.I., ‘Semigroup algebras with identities’, Siberian Math. J. 18 (1977), 787–798.Google Scholar