Rings, Modules, and Closure Operations (eBook)

Jesse Elliott (Autor)

eBook Download: PDF

2019 | 1st ed. 2019
XXIV, 490 Seiten
Springer International Publishing (Verlag)
978-3-030-24401-9 (ISBN)

Infos

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. 

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.

Produkt-Details

• Erscheint lt. Verlag: 30.11.2019
• Reihe/Serie: Springer Monographs in Mathematics
• Reihe/Serie: Springer Monographs in Mathematics
• Zusatzinfo: XXIV, 490 p. 7 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• 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: 3-030-24401-6 / 3030244016
• ISBN-13: 978-3-030-24401-9 / 9783030244019