Some Properties of Noetherian Rings
Description:
This paper is an investigation of several basic properties of noetherian rings. Chapter I gives a brief introduction, statements of definitions, and statements of theorems without proof. Some of the main results in the study of noetherian rings are proved in Chapter II. These results include proofs of the equivalence of the maximal condition, the ascending chain condition, and that every ideal is finitely generated. Some other results are that if a ring R is noetherian, then R[x] is noetherian…
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Date:
May 1986
Creator:
Vaughan, Stephen N. (Stephen Nick)
Partner:
UNT Libraries