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Author: Eugene Spiegel
Publisher: CRC Press
ISBN: 9780824700362
Category : Mathematics
Languages : en
Pages : 356
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Book Description
This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.;College or university bookstores may order five or more copies for a special student price, which is available on request from Marcel Dekker.
Author: Eugene Spiegel
Publisher: CRC Press
ISBN: 9780824700362
Category : Mathematics
Languages : en
Pages : 356
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Book Description
This work covers the maximal and prime ideals of the incidence algebra, derivations and isomorphisms, radicals and additional ring-theoretic properties. Combinatorial discussions include a study of the Mobius function, reduced incidence subalgebras, and the coalgebra approach to incidence algebras.;College or university bookstores may order five or more copies for a special student price, which is available on request from Marcel Dekker.
Author: Ibrahim Assem
Publisher: American Mathematical Soc.
ISBN: 147045159X
Category : Education
Languages : en
Pages : 274
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Book Description
The Seventh ARTA (“Advances in Representation Theory of Algebras VII”) conference took place at the Instituto de Matemáticas of the Universidad Nacional Autónoma de México, in Mexico City, from September 24–28, 2018, in honor of José Antonio de la Peña's 60th birthday. Papers in this volume cover topics Professor de la Peña worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen–Macaulay modules, quantum groups and other algebraic structures.
Author: Raymundo Bautista
Publisher: American Mathematical Soc.
ISBN: 9780821803950
Category : Mathematics
Languages : en
Pages : 780
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Book Description
The ICRA VII was held at Cocoyoc, Mexico, in August 1994. This was the second time that the ICRA was held in Mexico: ICRA III took place in Puebla in 1980. The 1994 conference included 62 lectures, all listed in these Proceedings. Not all contributions presented, however, appear in this book. Most papers in this volume are in final form with complete proofs, with the only exception being the paper of Leszczynski and Skowronski, Auslander algebras of tame representation type, that the editors thought useful to include.
Author: Michiel Hazewinkel
Publisher: CRC Press
ISBN: 1351869876
Category : Mathematics
Languages : en
Pages : 364
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Book Description
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.
Author: Linfan Mao
Publisher: Infinite Study
ISBN: 1599731649
Category :
Languages : en
Pages : 128
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Book Description
Papers on Incidence Algebras and Labelings of Graph Structures, Pseudo-Smarandache Functions of First and Second Kind, On Dynamical Chaotic Weyl Representations of the Vacuum C Metric and Their Retractions, The Geometry of Hypersurfaces of a Certain Connection in a Quasi-Sasakian Manifold, and other topics. Contributors: S.K. Vaidya, Lekha Bijukumar, M.A. Perumal, S. Navaneethakrishnan, A. Nagarajan, B. Basavanagoud, Sunilkumar M. Hosamani, R. Manoharan, R. Vasuki, R. Manisekaran, and others.
Author: Lucien Marie Le Cam
Publisher: Univ of California Press
ISBN: 9780520021846
Category : Biometry
Languages : en
Pages : 664
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Book Description
Author: J.S. Oliveira
Publisher: Springer Science & Business Media
ISBN: 9780817631147
Category : Science
Languages : en
Pages : 648
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Book Description
The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Author: Joseph P. S. Kung
Publisher: Cambridge University Press
ISBN: 052188389X
Category : Mathematics
Languages : en
Pages : 409
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Book Description
Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.
Author: Marcelo Aguiar
Publisher: American Mathematical Soc.
ISBN: 1470437112
Category : Mathematics
Languages : en
Pages : 639
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Book Description
This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the category of lunes which generalizes the classical associative operad. Also discussed are the descent and lune identities, distance functions on chambers, and the combinatorics of the braid arrangement and related examples. Part II studies the structure and representation theory of the Tits algebra of an arrangement. It gives a detailed analysis of idempotents and Peirce decompositions, and connects them to the classical theory of Eulerian idempotents. It introduces the space of Lie elements of an arrangement which generalizes the classical Lie operad. This space is the last nonzero power of the radical of the Tits algebra. It is also the socle of the left ideal of chambers and of the right ideal of Zie elements. Zie elements generalize the classical Lie idempotents. They include Dynkin elements associated to generic half-spaces which generalize the classical Dynkin idempotent. Another important object is the lune-incidence algebra which marks the beginning of noncommutative Möbius theory. These ideas are also brought upon the study of the Solomon descent algebra. The monograph is written with clarity and in sufficient detail to make it accessible to graduate students. It can also serve as a useful reference to experts.
Author: Library of Congress
Publisher:
ISBN:
Category : Subject headings, Library of Congress
Languages : en
Pages : 1160
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Book Description
