whole_CazaranJilyana1998_thesis.pdf (3.98 MB)
Artinian rings, finite principal ideal rings and algebraic error-correcting codes
thesisposted on 2023-05-27, 06:35 authored by Cazaran, Jilyana
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  to .
Rights statementCopyright 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). Thesis (Ph.D.)--University of Tasmania, 1998. Includes bibliographical references