The completions of local rings and their modules.

Author

Christopher Scott Taber

Abstract

"This paper gives a generally self-contained introduction to the completions of local rings and their modules. The '.Fbrmal Power Series, the Ideal-adic, and the Projective Limit completions are established, and the conditions under which they are equivalent are also given. In addition, two methods of obtaining the completion of an R-module from the completion of the ring Rare supplied. As an ideal of R may also be taken as an R-module, a discussion of obtaining its completion from the completed ring is also provided. Two well-known examples are furnished in this paper"--- Abstract, p. ii

Advisor(s)

Sawtelle, Peter G.

Committee Member(s)

Pursell, Lyle E.
Russell, Robert R.

Department(s)

Mathematics and Statistics

Degree Name

M.S. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1974

Pagination

iii, 92 pages

Note about bibliography

Includes bibliographical references (page 90)

Rights

© 1974 Christopher Scott Taber, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 3075

Print OCLC #

6013621

Recommended Citation

Taber, Christopher Scott, "The completions of local rings and their modules." (1974). Masters Theses. 3413.
https://scholarsmine.mst.edu/masters_theses/3413