Rings, Modules, and Closure Operations / / by Jesse Elliott
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| Autore: |
Elliott Jesse
|
| Titolo: |
Rings, Modules, and Closure Operations / / by Jesse Elliott
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Edizione: | 1st ed. 2019. |
| Descrizione fisica: | 1 online resource (512 pages) |
| Disciplina: | 512.4 |
| 512.44 | |
| Soggetto topico: | Commutative algebra |
| Commutative rings | |
| Commutative Rings and Algebras | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. Extensions of commutative rings -- 5. Semiprime, star, and semistar operations on commutative rings -- 6. Closure operations on submodules over noncommutative rings -- 7. Appendix on Clusure operations and nuclei -- Bibliography -- Index. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Rings, Modules, and Closure Operations |
| ISBN: | 3-030-24401-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910360849603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Monographs in Mathematics, . 1439-7382