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AAA61: 61st Workshop on General Algebra + 16th Conference of Young Algebraists
February 2-4, 2001
TU Darmstadt
Darmstadt, Germany

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Finite length modules over HNP ring
by
Irawati
Jurusan Matematika ITB, Jalan Ganesha 10, Bandung, Indonesia

Levy's Theorem on the decomposition of a finite length module over HNPs has been proved by induction. In this paper we will prove it constructively. By separating simple submodules of a finite length module over HNPs, it will be shown constructively that the module is a direct sum of a submodule annihilated by an invertible ideal and a submodule that has no composition factor annihilated by an invertible ideal.

Date received: November 27, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafo-22.