Ideals Of Powers And Powers Of Ideals
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Ideals Of Powers And Powers Of Ideals
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Author : Enrico Carlini
language : en
Publisher: Springer Nature
Release Date : 2020-05-21
Ideals Of Powers And Powers Of Ideals written by Enrico Carlini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Mathematics categories.
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Monomial Ideals
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Author : Jürgen Herzog
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-28
Monomial Ideals written by Jürgen Herzog and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-28 with Mathematics categories.
This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text. Self-contained and concise, this book will appeal to a wide range of readers, including PhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowledge of commutative algebra. Since their first meeting in 1985, Juergen Herzog (Universität Duisburg-Essen, Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in this monograph.
The Power Of Ideals
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Author : William Damon
language : en
Publisher: Oxford University Press, USA
Release Date : 2015
The Power Of Ideals written by William Damon and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Philosophy categories.
The Power of Ideals examines the lives and work of six 20th century moral leaders who pursued moral causes ranging from world peace to social justice and human rights, and uses these six cases to show how people can make choices guided by their moral ideals rather than by base emotion or social pressures.
Ideals Of Powers And Powers Of Ideals
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Author : Enrico Carlini
language : en
Publisher: Springer
Release Date : 2020-05-22
Ideals Of Powers And Powers Of Ideals written by Enrico Carlini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-22 with Mathematics categories.
This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.
Good And Bad Power
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Author : Geoff Mulgan
language : en
Publisher: Penguin UK
Release Date : 2007-09-27
Good And Bad Power written by Geoff Mulgan and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-27 with Political Science categories.
How can we make the governments on which we depend for our welfare and survival behave like servants rather than masters? This is the oldest question in politics. It has been grappled with, but never satisfactorily answered, for thousands of years. In much of the world states remain oppressive, secretive and violent. It is no surprise that so much recent political theory has been concerned with how to protect people from dangerous states. Yet the only things as bad as states that are too strong are states that are too weak. The old democracies of western Europe and north America have achieved a rough balance between being too strong and too weak, yet still suffer from constant crises of moral purpose. There is a growing trend of anti-politics, manifest in falling turnouts and party membership, and an assumption that politicians represent the worst venality rather than the highest ideals. Something has gone badly wrong in our relationship with power. This book explains why we have arrived at this point, what can be done to change the world, and how the power of governments can be used for good.
Combinatorial Structures In Algebra And Geometry
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Author : Dumitru I. Stamate
language : en
Publisher: Springer Nature
Release Date : 2020-09-01
Combinatorial Structures In Algebra And Geometry written by Dumitru I. Stamate and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-01 with Mathematics categories.
This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanța, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past – for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1).
Cohen Macaulay Rings
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Author : Winfried Bruns
language : en
Publisher: Cambridge University Press
Release Date : 1998-06-18
Cohen Macaulay Rings written by Winfried Bruns and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-18 with Mathematics categories.
In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem, bounds for Bass numbers, and tight closure. Throughout each chapter the authors have supplied many examples and exercises which, combined with the expository style, will make the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for researchers in commutative algebra.
Combinatorial Commutative Algebra
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Author : Ezra Miller
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-21
Combinatorial Commutative Algebra written by Ezra Miller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-21 with Mathematics categories.
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Deconstructing Ideal Power Europe
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Author : Münevver Cebeci
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2018-12-31
Deconstructing Ideal Power Europe written by Münevver Cebeci and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-31 with Political Science categories.
Deconstructing “Ideal Power Europe”: The EU and Arab Change criticizes the dominant discourse on European foreign policy, which represents the EU as a force for good in world politics. Using a poststructuralist approach, it deconstructs the EU’s representation as “an ideal power” through an analysis of European foreign policy on the Southern Mediterranean before and after the Arab uprisings. In this endeavor, it displaces three major discourses which construct the EU as “ideal”: the “postmodern and post-sovereign EU”, “the EU as a model/a virtuous example”, and, “the EU as a normative power” discourses. The major argument of the book is that the “ideal power Europe” meta-narrative is especially produced and reproduced in the EU’s approach towards the Southern Mediterranean, and, it manifests itself through the rhetoric of “responsibility” and “universality” in the aftermath of the Arab uprisings. The book also provides an analysis of how the “ideal power Europe” meta-narrative feeds into and legitimizes European governmentality in the world, in general, and, in the case of the Southern Mediterranean after the Arab uprisings, in particular. Arguing that the depiction of the EU as postmodern/post-sovereign, as a model/an exemplar, and as a normative power pertains to the representation of a “regulatory ideal”, it elucidates how the EU pursues hegemonic practices in the Southern Mediterranean. It further manifests how the EU’s governmentality is marked by a securitized, depoliticizing, and technocratic approach which feeds into and gets legitimized by the dominant discourse on European foreign policy; reproducing the EU’s “ideal” identity vis-à-vis its “imperfect” Arab other.
Non Ideal Compressible Fluid Dynamics For Propulsion And Power
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Author : Francesca di Mare
language : en
Publisher: Springer Nature
Release Date : 2020-07-08
Non Ideal Compressible Fluid Dynamics For Propulsion And Power written by Francesca di Mare and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-08 with Technology & Engineering categories.
This book reports on advanced theories and methods aimed at characterizing the dynamics of non-ideal compressible fluids. A special emphasis is given to research fostering the use of non-ideal compressible fluids for propulsion and power engineering. Both numerical and experimental studies, as well as simulations, are described in the book, which is based on selected contributions and keynote lectures presented at the 2nd International Seminar on Non-Ideal Compressible-Fluid Dynamics for Propulsion & Power. Held on October 4-5 in Bochum, Germany, the seminar aimed at fostering collaborations between academics and professionals. The two perspectives have been gathered together in this book, which offers a timely guide to advanced fundamentals, innovative methods and current applications of non-ideal compressible fluids to developing turbomachines, and for propulsion and power generation.