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Higher Initial Ideals Of Homogeneous Ideals
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Book Synopsis Higher Initial Ideals of Homogeneous Ideals by : Gunnar Fløystad
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by American Mathematical Soc.. This book was released on 1998 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Higher Initial Ideals of Homogeneous Ideals by : Gunnar Fløystad
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians.
Book Synopsis Ideals of Powers and Powers of Ideals by : Enrico Carlini
Download or read book Ideals of Powers and Powers of Ideals written by Enrico Carlini and published by Springer Nature. This book was released on 2020-05-21 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Higher Initial Images of Homogeneous Ideals by : Gunnar Floystad
Download or read book Higher Initial Images of Homogeneous Ideals written by Gunnar Floystad and published by . This book was released on 1994 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Initial Ideals of Truncated Homogeneous Ideals by : Jan Snellman
Download or read book Initial Ideals of Truncated Homogeneous Ideals written by Jan Snellman and published by . This book was released on 1996 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Realization of Vector Fields and Dynamics of Spatially Homogeneous Parabolic Equations by : Edward Norman Dancer
Download or read book Realization of Vector Fields and Dynamics of Spatially Homogeneous Parabolic Equations written by Edward Norman Dancer and published by American Mathematical Soc.. This book was released on 1999 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians working in partial differential equations.
Book Synopsis Homogeneous Integral Table Algebras of Degree Three: A Trilogy by : Harvey I. Blau
Download or read book Homogeneous Integral Table Algebras of Degree Three: A Trilogy written by Harvey I. Blau and published by American Mathematical Soc.. This book was released on 2000 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism oforder three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism.
Book Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke
Download or read book Integral Closure of Ideals, Rings, and Modules written by Craig Huneke and published by Cambridge University Press. This book was released on 2006-10-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Download or read book Cumulated Index to the Books written by and published by . This book was released on 1999 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Statistical Mechanics of Ideal Homogeneous Turbulence by : John V. Shebalin
Download or read book The Statistical Mechanics of Ideal Homogeneous Turbulence written by John V. Shebalin and published by . This book was released on 2002 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).
Book Synopsis Monomial Ideals and Their Decompositions by : W. Frank Moore
Download or read book Monomial Ideals and Their Decompositions written by W. Frank Moore and published by Springer. This book was released on 2018-10-24 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in abstract algebra that includes polynomial rings and ideals, this book serves as a core text for a course in combinatorial commutative algebra or as preparation for more advanced courses in the area. The text contains over 600 exercises to provide readers with a hands-on experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2 with tutorials and exercises for most sections of the text, preparing them for significant computational work in the area. Connections to non-monomial areas of abstract algebra, electrical engineering, combinatorics and other areas of mathematics are provided which give the reader a sense of how these ideas reach into other areas.
Book Synopsis Lexicographic Ideals by : Jeffrey Abraham Mermin
Download or read book Lexicographic Ideals written by Jeffrey Abraham Mermin and published by . This book was released on 2006 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Algebraic Geometry by : Gregory G. Smith
Download or read book Combinatorial Algebraic Geometry written by Gregory G. Smith and published by Springer. This book was released on 2017-11-17 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Book Synopsis Numerical Predictions of Nonlinear Diffusion with Homogeneous Recombinatioins and Time-varying Boundary Conditions by : Walter Albert Reinhardt
Download or read book Numerical Predictions of Nonlinear Diffusion with Homogeneous Recombinatioins and Time-varying Boundary Conditions written by Walter Albert Reinhardt and published by . This book was released on 1964 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Algebra by : Anthony W. Knapp
Download or read book Advanced Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Book Synopsis The Ideas that Have Influenced Civilization, in the Original Documents: 1833-1860 by : Oliver Joseph Thatcher
Download or read book The Ideas that Have Influenced Civilization, in the Original Documents: 1833-1860 written by Oliver Joseph Thatcher and published by . This book was released on 1902 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ideals, Varieties, and Algorithms by : David A Cox
Download or read book Ideals, Varieties, and Algorithms written by David A Cox and published by Springer Science & Business Media. This book was released on 2008-07-31 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.
