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Corings and Comodules
Cambridge University Press 2003; US$ 77.00This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special... more...
The Diophantine Frobenius Problem
OUP Oxford 2005; US$ 149.99During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination... more...
Elements of the Representation Theory of Associative Algebras
Cambridge University Press 2006; US$ 47.00Provides an elementary but up-to-date introduction to the representation theory of algebras. more...
Elements of the Representation Theory of Associative Algebras
Cambridge University Press 2007; US$ 59.00Volume two of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field more...
Elements of the Representation Theory of Associative Algebras
Cambridge University Press 2007; US$ 59.00Volume three of this modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. more...
Frobenius Algebras and 2-D Topological Quantum Field Theories
Cambridge University Press 2003; US$ 47.00Proves striking results connecting topology and algebra and shows how the result fits into a more general pattern. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques. There are numerous exercises and examples making the book suitable for teaching. more...
Frobenius Categories versus Brauer Blocks
Springer 2009; US$ 129.00Introduces and develops the abstract setting of the Frobenius categories for an understanding of what was loosely called the local theory either of finite groups or of blocks, and for the purpose of an eventual classification. more...
Functional Identities
Springer 2007; US$ 47.99The theory of functional identities (FIs) is a relatively new one - the first results were published at the beginning of the 1990s, and this is the first book on this subject. An FI can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. The goal of the general... more...
Handbook of Tilting Theory
Cambridge University Press 2007; US$ 94.00A handbook of key articles providing both an introduction and reference for newcomers and experts alike. more...
Near-Rings and Near-Fields
Elsevier Science 2011; US$ 223.00Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory. There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model... more...









