Author : Daniel Anderson
Publisher : Routledge
Page : 448 pages
File Size : 12,54 MB
Release : 2017-11-13
Category : Mathematics
ISBN : 1351448943
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
Author : William Heinzer
Publisher : American Mathematical Soc.
Page : 426 pages
File Size : 14,1 MB
Release : 2021-10-08
Category : Education
ISBN : 1470466422
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.
Author : Marco Fontana
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 39,19 MB
Release : 2013
Category : Mathematics
ISBN : 3642317111
This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and a product of maximal ideals and (2) those with pseudo-Dedekind factorization, in which each nonzero, noninvertible ideal can be factored as the product of an invertible ideal with a product of pairwise comaximal prime ideals. Prüfer domains play a central role in our study, but many non-Prüfer examples are considered as well.
Author : Daniel Anderson
Publisher : CRC Press
Page : 452 pages
File Size : 12,27 MB
Release : 1997-04-22
Category : Mathematics
ISBN : 9780824700324
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City. The text gathers current work on factorization in integral domains and monoids, and the theory of divisibility, emphasizing possible different lengths of factorization into irreducible elements.
Author : Samuel Borofsky
Publisher :
Page : 46 pages
File Size : 35,34 MB
Release : 1939
Category :
ISBN :
Author : S.T. Chapman
Publisher : Springer Science & Business Media
Page : 504 pages
File Size : 14,64 MB
Release : 2000-10-31
Category : Mathematics
ISBN : 9780792364924
This volume consists of twenty-one articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine in various degrees surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography. One hundred open problems supplied by the authors have been collected in the volume's concluding chapter. The entire collection provides a comprehensive survey of the development of the field over the last ten years and points to future directions of research in the area. Audience: Researchers and graduate students; the volume is an appropriate source of material for several semester-long graduate-level seminars and courses.
Author : Alfred Geroldinger
Publisher : CRC Press
Page : 723 pages
File Size : 19,57 MB
Release : 2006-01-13
Category : Mathematics
ISBN : 1420003208
From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza
Author : Craig Huneke
Publisher : Cambridge University Press
Page : 446 pages
File Size : 31,46 MB
Release : 2006-10-12
Category : Mathematics
ISBN : 0521688604
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author : Ian Stewart
Publisher : CRC Press
Page : 334 pages
File Size : 46,16 MB
Release : 2001-12-12
Category : Mathematics
ISBN : 143986408X
First published in 1979 and written by two distinguished mathematicians with a special gift for exposition, this book is now available in a completely revised third edition. It reflects the exciting developments in number theory during the past two decades that culminated in the proof of Fermat's Last Theorem. Intended as a upper level textbook, it
Author : Ayman Badawi
Publisher : Springer Nature
Page : 317 pages
File Size : 42,73 MB
Release : 2022-03-11
Category : Mathematics
ISBN : 9811684227
This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6–9 February 2020. This conference was held in honour of the work of the distinguished algebraist Daniel D. Anderson. Many participants and colleagues from around the world felt it appropriate to acknowledge his broad and sweeping contributions to research in algebra by writing an edited volume in his honor. The topics covered are, inevitably, a cross-section of the vast expansion of modern algebra. The book is divided into two sections—surveys and recent research developments—with each section hopefully offering symbiotic utility to the reader. The book contains a balanced mix of survey papers, which will enable expert and non-expert alike to get a good overview of developments across a range of areas of algebra. The book is expected to be of interest to both beginning graduate students and experienced researchers.
