Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7-10 October 2010. As a consequence of the wide coverage of his research interest and work, it presents 54 research papers, all original and referred, describing the latest research and development, and addressing a variety of issues and methods in semigroups, groups, rings and modules, lattices and Hopf Algebra. The book also provides five well-written expository survey articles which feature the structure of finite gro

Ordered algebraic structures --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work.

Algebra. --- Rings (Algebra) --- Algebraic fields. --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Algebraic rings --- Ring theory --- Algebraic fields --- Mathematics --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ordered algebraic structures --- Algebra --- algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, “Plane Algebraic Curves” reflects the author’s concern for the student audience through emphasis upon motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles; this text provides a foundation for the comprehension and exploration of modern work on singularities.   ---   In the first chapter one finds many special curves with very attractive geometric presentations – the wealth of illustrations is a distinctive characteristic of this book – and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezout’s theorem and a detailed discussion of cubics. The heart of this book – and how else could it be with the first author – is the chapter on the resolution of singularities (always over the complex numbers).  (…) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject. (Mathematical Reviews).

Curves, Algebraic. --- Curves, Plane. --- Geometry, Projective. --- Curves, Algebraic --- Curves, Plane --- Geometry, Projective --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Projective geometry --- Higher plane curves --- Plane curves --- Algebraic curves --- Mathematics. --- Algebraic geometry. --- Commutative algebra. --- Commutative rings. --- Algebraic topology. --- Algebraic Geometry. --- Commutative Rings and Algebras. --- Algebraic Topology. --- Geometry, Modern --- Algebraic varieties --- Geometry, algebraic. --- Algebra. --- Topology --- Mathematical analysis --- Algebraic geometry --- Rings (Algebra) --- Algebra

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.

Hopf algebras. --- Algebras, Hopf --- Algebraic topology