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Commutative rings

  • Commutative Algebraby Marco Fontana; Sophie Frisch; Sarah Glaz

    Springer New York 2014; US$ 129.00

    This volume presents a multi-dimensional collection of articles highlighting recent developments in commutative algebra. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have... more...

  • The Separable Galois Theory of Commutative Rings, Second Editionby Andy R. Magid

    CRC Press 2014; US$ 109.95

    The Separable Galois Theory of Commutative Rings, Second Edition provides a complete and self-contained account of the Galois theory of commutative rings from the viewpoint of categorical classification theorems and using solely the techniques of commutative algebra. Along with updating nearly every result and explanation, this edition contains... more...

  • Lecture Notes on Local Ringsby Birger Iversen; Holger Andreas Nielsen

    World Scientific Publishing Company 2014; US$ 62.00

    The content in Chapter 1–3 is a fairly standard one–semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen–Macaulay rings and depth. In Chapters 4–6 the methods of injective modules, Matlis duality and... more...

  • Connections Between Algebra, Combinatorics, and Geometryby

    Springer New York 2014; US$ 129.00

    Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June... more...

  • Gröbner Basesby

    Springer Japan 2014; US$ 129.00

    This useful, focused publication discusses the theoretical, practical, and computational aspects of Gröbner bases, providing information on how to use various software packages in a format readily accessible to graduate students with no specialist knowledge. more...

  • Harmonic and Complex Analysis and its Applicationsby Alexander Vasil?ev

    Springer International Publishing 2013; US$ 169.00

    This volume highlights the main results of the research performed within the network ?Harmonic and Complex Analysis and its Applications? (HCAA), which was a five-year (2007?2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and... more...

  • Rational Homotopy Theory and Differential Formsby Phillip Griffiths; John Morgan

    Springer New York 2013; US$ 109.00

    This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham?s theorem... more...

  • Commutative Algebraby Irena Peeva

    Springer New York 2013; US$ 149.00

    This volume covers a very wide range of topics, including core areas in commutative algebra and also relations to algebraic geometry, algebraic combinatorics, hyperplane arrangements, homological algebra, and string theory. more...

  • Factoring Ideals in Integral Domainsby Marco Fontana; Evan Houston; Thomas Lucas

    Springer Berlin Heidelberg 2012; US$ 49.95

    This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization actively investigated by several authors in recent years. Examples of domains studied include (1) those with weak factorization, in which each nonzero, nondivisorial ideal can be factored as the product of its divisorial closure and... more...

  • Plane Algebraic Curvesby Egbert Brieskorn; Horst Knörrer

    Springer Basel 2012; US$ 99.00

    This book offers a detailed and comprehensive introduction to the theory of plane algebraic curves, providing a foundation for the comprehension and exploration of modern work on singularities. Includes many examples, and references to additional literature. more...