|
" Rings, modules, and closure operations / "
Jesse Elliott.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
862607
|
| Main Entry
|
:
|
Elliott, Jesse
|
| Title & Author
|
:
|
Rings, modules, and closure operations /\ Jesse Elliott.
|
| Publication Statement
|
:
|
Cham, Switzerland :: Springer,, [2019]
|
| Series Statement
|
:
|
Springer monographs in mathematics
|
| Page. NO
|
:
|
1 online resource (xxiv, 490 pages) :: illustrations
|
| ISBN
|
:
|
3030244016
|
|
|
:
|
: 3030244024
|
|
|
:
|
: 3030244032
|
|
|
:
|
: 9783030244019
|
|
|
:
|
: 9783030244026
|
|
|
:
|
: 9783030244033
|
|
|
:
|
3030244008
|
|
|
:
|
9783030244002
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references and index.
|
| Contents
|
:
|
Preface -- 0. Preliminaries -- 1. Introductory survey of multiplicative ideal theory -- 2. Semistar operations on commutative rings -- 3. Semistar operations on commutative rings : local methods -- 4. Semiprime, star, and semistar operation on commutative rings -- 5. Noncommutative rings and closure operations on submodules -- 6. Closure operations and nuclei -- References -- Index.
|
| Abstract
|
:
|
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
|
| Subject
|
:
|
Commutative rings.
|
| Subject
|
:
|
Commutative rings.
|
| Dewey Classification
|
:
|
512/.44
|
| LC Classification
|
:
|
QA251.3.E45 2019
|
| |