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Gorenstein Dimensions
This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.
The Half Brother
At the end of World War II, twenty-year-old Vera is brutally raped by an unknown assailant. From that rape is born a boy named Fred, a misfit who later becomes a talented boxer. Vera’s young son, Barnum, forms a special but bizarre relationship with his half brother, fraught with rivalry and dependence as well as love. “I should have been your father,” Fred tells Barnum, “instead of the fool who says he is.” It is Barnum, who is now a screenwriter with a fondness for lies and alcohol, who narrates his family’s saga. As he shares his family’s history, he chronicles generations of independent women and absent and flawed men whom he calls the Night Men. Among them is his father, Arnold, who bequeaths to Barnum his circus name, his excessively small stature, and a con man’s belief in the power of illusion. Filled with a galaxy of finely etched characters, this prize-winning novel is a tour de force and a literary masterpiece richly deserving of the accolades it has received.
Commutative Algebra and Its Applications
This volume contains selected refereed papers based on lectures presented at the 'Fifth International Fez Conference on Commutative Algebra and Applications' that was held in Fez, Morocco in June 2008. The volume represents new trends and areas of classical research within the field, with contributions from many different countries. In addition, the volume has as a special focus the research and influence of Alain Bouvier on commutative algebra over the past thirty years.
Cosmic Collisions
Like no other telescope ever invented, the NASA/ESA Hubble Space Telescope has given us magnificent high resolution views of the gigantic cosmic collisions between galaxies. Hubble's images are snapshots in time and catch the colliding galaxies in different stages of collision. Thanks to a new and amazing set of 60 Hubble images, for the first time these different stages can be put together to form a still-frame movielike montage showing the incredible processes taking place as galaxies collide and merge. The significance of these cosmic encounters reaches far beyond aesthetics. Galaxy mergers may, in fact, be some of the most important processes that shape our universe. Colliding galaxies very likely, hold some of the most important clues to our cosmic past and to our destiny. It now seems clear that the Milky Way is continuously undergoing merging events, some small scale, others on a gigantic scale. And the importance of this process in the lives of galaxies is much greater than what was previously thought.
Commutative Algebra
This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
Commutative Algebra
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
The Money Illusion
The first book-length work on market monetarism, written by its leading scholar. Is it possible that the consensus around what caused the 2008 Great Recession is almost entirely wrong? It’s happened before. Just as Milton Friedman and Anna Schwartz led the economics community in the 1960s to reevaluate its view of what caused the Great Depression, the same may be happening now to our understanding of the first economic crisis of the 21st century. Foregoing the usual relitigating of problems such as housing markets and banking crises, renowned monetary economist Scott Sumner argues that the Great Recession came down to one thing: nominal GDP, the sum of all nominal spending in the economy, which the Federal Reserve erred in allowing to plummet. The Money Illusion is an end-to-end case for this school of thought, known as market monetarism, written by its leading voice in economics. Based almost entirely on standard macroeconomic concepts, this highly accessible text lays the groundwork for a simple yet fundamentally radical understanding of how monetary policy can work best: providing a stable environment for a market economy to flourish.
On Combat
Looks at the effect of deadly battle on the body and mind and offers new research findings to help prevent lasting adverse effects.
Categorical, Homological and Combinatorial Methods in Algebra
This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.
Commutative Algebra: 150 Years with Roger and Sylvia Wiegand
This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of Wisconsin-Madison, Wisconsin. These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years. Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.
