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Abstract

This thesis contains structure theorems for several types of Artinian
rings, in particular, finite rings, commutative Artinian rings containing an
identity, finite commutative rings containing an identity, and semisimple Artinian
semigroup-graded rings. Chapter 1 provides an introduction to Artinian
rings, semigroup-graded rings and some algebraic coding theory. Except for
a small percentage of lemmas which are referenced, all the theory contained
in Chapters 2 to 5 is new. It is original work either by myself or in collaboration
with my supervisor Andrei V. Kelarev. Some results obtained while
conducting my Ph.D. research have appeared in [8] to [22].

Item Type:	Thesis - PhD
Authors/Creators:	Cazaran, Jilyana
Keywords:	Artin rings, Error-correcting codes (Information theory), Ideals (Algebra), Commutative rings
Copyright Holders:	The Author
Copyright Information:	Copyright 1998 the Author - The University is continuing to endeavour to trace the copyright owner(s) and in the meantime this item has been reproduced here in good faith. We would be pleased to hear from the copyright owner(s).
Additional Information:	Thesis (Ph.D.)--University of Tasmania, 1998. Includes bibliographical references
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