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Strange Attractors is a collection of approximately 150 poems with strong links to mathematics in content, form, or imagery. The common theme is love, and the editors draw from its various manifestations-romantic love, spiritual love, humorous love, love between parents and children, mathematicians in love, love of mathematics. The poets include li
This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory known to date, as well as a number of results never published before. Starting with elementary results, the book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings. The subject of coherence is brought to the frontiers of research, exposing the open problems in the field. Most topics are treated in their fully generality, deriving the results on coherent rings as conclusions of the general theory. Thus, the book develops many of the tools of modern research in commutative algebra with a variety of examples and counterexamples. Although the book is essentially self-contained, basic knowledge of commutative and homological algebra is recommended. It addresses graduate students and researchers.
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.
This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Mo...
This book was originally published in 1999, and is the first comprehensive study of the British surrealist movement and its achievements. Lavishly illustrated, the book provides a year-by-year narrative of the development of surrealism among artists, writers, critics and theorists in Britain. Surrealism was imported into Britain from France by pioneering little magazines. The 1936 International Surrealist Exhibition in London, put together by Herbert Read and Roland Penrose, marked the first attempt to introduce the concept to a wider public. Relations with the Soviet Union, the Spanish Civil War and World War Two fractured the nascent movement as writers and artists worked out their individual responses and struggled to earn a living in wartime. The book follows the story right through to the present day. Michael Remy draws on 20 years of studying British surrealism to provide this authoritative and biographically rich account, a major contribution to the understanding of the achievements of the artists and writers involved and their allegiance to this key twentieth-century movement.
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.
Living in 2300 BCE, Sumerian high priestess Enheduanna became the first author of historical record by signing her name to a collection of hymns written for forty-two temples throughout the southern half of ancient Mesopotamia, the civilization now known as Sumer. Each of her hymns confirmed to the worshipers in each city the patron deity's unique character and significance. The collected hymns became part of the literary canon of the remarkable Sumerian culture and were copied by scribes in the temples for hundreds of years after Enheduanna's death. Betty De Shong Meador offers here the first collection of original translations of all forty-two hymns along with a lengthy examination of the relevant deity and city, as well as an analysis of the verses themselves. She introduces the volume with discussions of Sumerian history and mythology, as well as with what is known about Enheduanna, thought to be the first high priestess to the moon god Nanna, and daughter of Sargon, founder of one of the first empires in human history.
" Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.