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Abstract Algebra


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Lecture Notes in Computer Science / Lecture Notes in Artific #7278: Formal Concept Analysis: 10th International Conference, Icfca 2012, Leuven, Belgium, May 7-10, 2012. Proceedings
Lecture Notes in Computer Science / Lecture Notes in Artific #7278: Formal Concept Analysis: 10th International Conference, Icfca 2012, Leuven, Belgium, May 7-10, 2012. Proceedings
by Florent Domenach
Publisher Comments
This book constitutes the refereed proceedings of the 10th International Conference on Formal Concept Analysis, ICFCA 2012, held in Leuven, Belgium in May 2012. The 20 revised full papers presented together with 6 invited talks were carefully reviewed... (read more)

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Groups, Rings, Modules (Dover Books on Mathematics)
Groups, Rings, Modules (Dover Books on Mathematics)
by Maurice Auslander
Publisher Comments
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and... (read more)

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Endomorphism Rings of Abelian Groups
Endomorphism Rings of Abelian Groups
by Piotr A Krylov
Review
From the reviews: "In this book, the variety of methods, the beauty of the results, and the appeal of the open problems provide ample justification for the author's rationale. ... book is largely self-contained ... . Helpful and challenging sets of... (read more)

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Undergraduate Algebra (3RD 05 Edition)
Undergraduate Algebra (3RD 05 Edition)
by Serge Lang
Publisher Comments
The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New... (read more)

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The Schr Dinger-Virasoro Algebra: Mathematical Structure and Dynamical Schr Dinger Symmetries (Theoretical and Mathematical Physics)
The Schr Dinger-Virasoro Algebra: Mathematical Structure and Dynamical Schr Dinger Symmetries (Theoretical and Mathematical Physics)
by J. R. Mie Unterberger
Publisher Comments
This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure--the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in... (read more)

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Numbers and Symmetry
Numbers and Symmetry
by Bernard L Johnston
Book News Annotation
An undergraduate textbook that presents concrete examples before formal explanations and abstract definitions. Explains the basics of numeric groups, rings, and fields and the structures they form, and uses symmetry to provide visualizations of the... (read more)

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Lie Algebraic Methods in Integrable... (00 Edition)
Lie Algebraic Methods in Integrable... (00 Edition)
by Roy A. Chowdhury
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Exposes basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. Emphasis is not on developing a rigorous mathematical basis, but on using Lie algebraic methods as an effective tool. Begins by... (read more)

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Advances in Mathematics #4: Nearrings: Some Developments Linked to Semigroups and Groups
Advances in Mathematics #4: Nearrings: Some Developments Linked to Semigroups and Groups
by G. Ferrero
Publisher Comments
This work presents new and old constructions of nearrings. Links between properties of the multiplicative of nearrings (as regularity conditions and identities) and the structure of nearrings are studied. Primality and minimality properties of ideals are... (read more)

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Modular Representation Theory of Finite Groups
Modular Representation Theory of Finite Groups
by Peter Schneider
Publisher Comments
Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for... (read more)

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Combinatorial Commutative Algebra
Combinatorial Commutative Algebra
by Ezra Miller
Publisher Comments
Recent developments are covered Contains over 100 figures and 250 exercises Includes complete... (read more)

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Topics in Sociolinguistics #18: Unitary Representation Theory of Exponential Lie Groups
Topics in Sociolinguistics #18: Unitary Representation Theory of Exponential Lie Groups
by Horst Leptin
Book News Annotation
Establishes the validity of Kirillov's orbit method of finding universal parameters for the dual D of the Lie group G and its application for the much wider class of exponential Lie groups. Topics include bases in solvable Lie groups, the dual of an... (read more)

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Springer Proceedings in Mathematics & Statistics #29: Noncommutative Iwasawa Main Conjectures Over Totally Real Fields: M Nster, April 2011
Springer Proceedings in Mathematics & Statistics #29: Noncommutative Iwasawa Main Conjectures Over Totally Real Fields: M Nster, April 2011
by John Coates
Publisher Comments
The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa... (read more)

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Spectra of Graphs (Universitext)
Spectra of Graphs (Universitext)
by Andries E. Brouwer
Publisher Comments
This book provides an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity,... (read more)

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Lectures on SL2(C)-Modules
Lectures on SL2(C)-Modules
by Volodymyr Mazorchuk
Synopsis
This book is directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains... (read more)

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Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #40: Profinite Groups
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a #40: Profinite Groups
by Luis Ribes
Publisher Comments
The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in... (read more)

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Discrete Groups, Expanding Graphs and Invariant Measures: Appendix by Jonathan D. Rogawski (Modern Birkhauser Classics)
Discrete Groups, Expanding Graphs and Invariant Measures: Appendix by Jonathan D. Rogawski (Modern Birkhauser Classics)
by Alex Lubotzky
Publisher Comments
The book presents the solutions to two problems: the first is the construction of expanding graphs - graphs which are of fundamental importance for communication networks and computer science; the second is the Ruziewicz problem concerning the finitely... (read more)

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Inverse Galois Theory (Springer Monographs in Mathematics)
Inverse Galois Theory (Springer Monographs in Mathematics)
by Gunter Malle
Publisher Comments
A consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems... (read more)

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Progress in Mathematics #305: Hypoelliptic Laplacian and Bott Chern Cohomology: A Theorem of Riemann Roch Grothendieck in Complex Geometry
Progress in Mathematics #305: Hypoelliptic Laplacian and Bott Chern Cohomology: A Theorem of Riemann Roch Grothendieck in Complex Geometry
by Jean-michel Bismut
Publisher Comments
The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology, which is a... (read more)

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Graduate Texts in Mathematics #204: Galois Theory
Graduate Texts in Mathematics #204: Galois Theory
by Jean-pierre Escofier
Publisher Comments
This book offers the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of... (read more)

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London Mathematical Society Lecture Note #396: Arithmetic Differential Operators Over the P-Adic Integers
London Mathematical Society Lecture Note #396: Arithmetic Differential Operators Over the P-Adic Integers
by Claire C. Ralph
Publisher Comments
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of... (read more)

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