Rings, Modules, and Closure Operations
Springer International Publishing (Verlag)
978-3-030-24403-3 (ISBN)
lt;p>Jesse Elliott is a professor of mathematics and philosophy at California State University Channel Islands. He received a PhD in Mathematics in 2003 from the University of California, Berkeley and received a BS in Mathematics in 1995 from the Massachusetts Institute of Technology. His areas of research are ring theory, number theory, and the philosophy of mathematics.
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.
"I am certain that there is a lot to learn here and that this text is a valuable contribution to the literature that did not previously exist." (Geoffrey D. Dietz, Mathematical Reviews, March, 2021)
| Erscheinungsdatum | 25.12.2020 |
|---|---|
| Reihe/Serie | Springer Monographs in Mathematics |
| Zusatzinfo | XXIV, 490 p. 7 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 783 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebraic Structures • closure ideal and submodules • closure operations • Commutative Rings • divisorial nuclei • finitary nuclei • functorial systems • Integral Domains • multiplicative ideal theory • Ordered algebraic structures • polynomial rings • preradical theories • pretorsion theories • Prufer extensions • ring operations • semiprime operations • semistar operations • Star operations |
| ISBN-10 | 3-030-24403-2 / 3030244032 |
| ISBN-13 | 978-3-030-24403-3 / 9783030244033 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
