This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.
This volume contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra.
This book uses a powerful new technique, tight closure, to provide insight into many different problems that were previously not recognized as related. The authors develop the notion of weakly Cohen-Macaulay rings or modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of phantom homology, which uses tight closure techniques to show that certain elements in the homology of complexes must vanish when mapped to well-behaved rings. These ideas are used to strengthen various local homological conjectures. Initially, the authors develop the theory in positive characteristic, but it can be extended to characteristic 0 by the method of reduction to characteristic $p$. The book would be suitable for use in an advanced graduate course in commutative algebra.
During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley. The intent of the microprogram was to survey recent major results and current trends in the theory of commutative rings, especially commutative Noetherian rings. There was enthusiastic international participation. The papers in this volume, some of which are expository, some strictly research, and some a combination, reflect the intent of the program. They give a cross-section of what is happening now in this area. Nearly all of the manuscripts were solicited from the speakers at the conference, and in most instances the manuscript is based on the conference lecture. The editors hope that they will be of interest and of use both to experts and neophytes in the field. The editors would like to express their appreciation to the director of MSRI, Professor Irving Kaplansky, who first suggested the possibility of such a conference and made the task of organization painless. We would also like to thank the IVISRI staff who were unfailingly efficient, pleasant, and helpful during the meeting, and the manager of MSRI, Arlene Baxter, for her help with this volume. Finally we would like to express our appreciation to David Mostardi who did much of the typing and put the electronic pieces together.
The main objective of this monograph is to lay the foundations of tight closure theory for Noetherian rings containing a field of characteristic 0. It has been more than ten years since the authors first began work on tight closure. In that time they have published many articles on the topic. This remarkably potent method has led to a number of generalizations of old theorems, improved proofs, and a host of beautiful new results. This monograph will serve as a marvelous introduction to tight closure for both researchers and graduate students in commutative algebra.
Dream killers, ditch diggers, backstabbers...we’ve all had them in our lives. And even though we’d rather avoid them at all costs, God has plans for them—and for us. Joseph (of the coat of many colors) had a life full of these interlopers, from the brothers who wanted to murder him and sold him into slavery, to the conniving wife of his master, Potiphar. Though some might think God abandoned Joseph to these betrayers, Interlopers: The Difficult People and Life Experiences That Prepare Us for Greater helps us understand that God uses such interlopers to transform us and prepare us for greater destinies, just as he did for Joseph, leading us from the pit to the palace while changing us in ways we could never imagine. This book balances nicely the hard truths, suggesting what we need to do to be better and to keep ourselves in the best shape for the paths God has set out for us, along with encouragement for how to do so. It will be an enjoyable addition to the libraries of those looking for encouragement through their struggles and for ways they can actively improve their lives by “simply” changing their views about their struggles.
This book uses a powerful new technique, tight closure, to provide insight into many different problems that were previously not recognized as related. The authors develop the notion of weakly Cohen-Macaulay rings or modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of phantom homology, which uses tight closure techniques to show that certain elements in the homology of complexes must vanish when mapped to well-behaved rings. These ideas are used to strengthen various local homological conjectures. Initially, the authors develop the theory in positive characteristic, but it can be extended to characteristic 0 by the method of reduction to characteristic $p$. The book would be suitable for use in an advanced graduate course in commutative algebra.
This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.
Essential for ob/gyn physicians, primary care physicians, and any health care provider working with pregnant or postpartum women, Drugs in Pregnancy and Lactation: A Reference Guide to Fetal and Neonatal Risk, 12th Edition, puts must-know information at your fingertips in seconds. An easy A-to-Z format lists more than 1,400 of the most commonly prescribed drugs taken during pregnancy and lactation, with detailed monographs designed to provide the most essential information on possible effects on the mother, embryo, fetus, and nursing infant.
Put essential information at your fingertips – before you prescribe. The updated 11th edition of Drugs in Pregnancy and Lactation: A Reference Guide to Fetal and Neonatal Risk lists more than 1,200 commonly prescribed drugs taken during pregnancy and lactation, with detailed monographs that provide the information you need on known or possible effects on the mother, embryo, fetus, and nursing infant. For the 11th edition, this bestselling reference has two new authors, both highly knowledgeable on the effects of drugs on the embryo-fetus and nursing infant: Craig V. Towers, a maternal-fetal medicine specialist, and Alicia B. Forinash, a clinical pharmacologist specialist in obstetrics.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.