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Author: David F. Anderson Publisher: CRC Press ISBN: 9780824796051 Category : Mathematics Languages : en Pages : 820
Book Description
This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.
Author: David F. Anderson Publisher: CRC Press ISBN: 9780824796051 Category : Mathematics Languages : en Pages : 820
Book Description
This work presents advances in zero-dimensional commutative rings and commutative algebra. It illustrates the research frontier with 52 open problems together with comments on the relevant literature, and offers a comprehensive index for easy access to information. Wide-ranging developments in commutative ring theory are examined.
Author: Stephen Lipscomb Publisher: Springer Science & Business Media ISBN: 0387854940 Category : Mathematics Languages : en Pages : 259
Book Description
Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval. Unique features include: * The use of graphics to illustrate the fractal view of these spaces; * Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology; * A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings; * Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature. This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection between generalized fractals and universal spaces in dimension theory, it will be a natural text for graduate seminars or self-study - the interested reader will find many relevant open problems which will create further research into these topics.
Author: James W. Brewer Publisher: Springer Science & Business Media ISBN: 0387367179 Category : Mathematics Languages : en Pages : 437
Book Description
This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.
Author: José Antonio de la Pe?a Publisher: American Mathematical Soc. ISBN: 0821836307 Category : Mathematics Languages : en Pages : 436
Book Description
The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.
Author: S. Warner Publisher: Elsevier ISBN: 9780080872896 Category : Mathematics Languages : en Pages : 497
Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.
Author: David Eisenbud Publisher: Springer Science & Business Media ISBN: 1461253500 Category : Mathematics Languages : en Pages : 784
Book Description
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Author: Nikolay Kuznetsov Publisher: Springer Nature ISBN: 3030509877 Category : Computers Languages : en Pages : 555
Book Description
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Author: Charles J. Vadun Publisher: iUniverse ISBN: 0595136117 Category : Fiction Languages : en Pages : 314
Book Description
When Detective Sergeant Bill Kunkel blacks out in the gallery where he's investigating an art theft, it's the first clue that this is no ordinary burglary. Kunkel and his partner, Detective Kathy Thompson, soon plunge into a near-future underground in pursuit of a mad genius. Their quarry is Stephen Carter, a brilliant researcher bent on exacting revenge from the corporation that betrayed him. Carter has unlocked a gateway to an alternate universe. His shadowy "partners" have ideas of their own for Carter’s dimension--and will kill to possess its secrets for themselves. For Kunkel and Kathy to get their man, they'll have to confront reawakened demons from their pasts, form an unlikely alliance with a computer criminal, navigate the mean streets of Southern California's Special Economic Zone and the near-orbit hub of New Chicago, deal with their hidden feelings for each other--and discover why each of Kunkel's recurring blackouts coincide with each of Carter's thefts.
Author: David F. Anderson
Author: David F. Anderson
Author: Jürgen Herzog
Author: Stephen Lipscomb
Author: Cristian Popescu
Author: James W. Brewer
Author: José Antonio de la Pe?a
Author: S. Warner
Author: David Eisenbud
Author: Nikolay Kuznetsov
Author: Charles J. Vadun