De Gruyter Expositions in Mathematics – serie
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84 produkter
84 produkter
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The category of all modules over a general associative ring is too complex to admit any reasonable classification. Thus, unless the ring is of finite representation type, one must limit attempts at classification to some restricted subcategories of modules.The wild character of the category of all modules, or of one of its subcategories C is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions and these are generally viewed as obstacles to the classification. Realization theorems have thus become important indicators of the non-classification theory of modules.In order to overcome this problem, approximation theory of modules has been developed over the past few decades. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by ones from C. These approximations are neither unique nor functorial in general, but there is always a rich supply available appropriate to the requirements of various particular applications. Thus approximation theory has developed into an important part of the classification theory of modules.In this monograph the two methods are brought together. First the approximation theory of modules is developed and some of its recent applications, notably to infinite dimensional tilting theory, are presented. Then some prediction principles from set theory are introduced and these become the principal tools in the establishment of appropriate realization theorems.The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.
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No detailed description available for "Subgroup Lattices of Groups".
1 971 kr
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No detailed description available for "The Stefan Problem".
3 053 kr
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No detailed description available for "Compact Projective Planes".
Del 2 - De Gruyter Expositions in Mathematics
Combinatorial Homotopy and 4-Dimensional Complexes
Inbunden, Engelska, 1991
2 256 kr
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No detailed description available for "Combinatorial Homotopy and 4-Dimensional Complexes".
1 971 kr
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No detailed description available for "The Analytical and Topological Theory of Semigroups".
2 672 kr
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No detailed description available for "Compositions of Quadratic Forms".
3 053 kr
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No detailed description available for "Blow-Up in Quasilinear Parabolic Equations".
3 556 kr
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No detailed description available for "Finite Soluble Groups".
Del 7 - De Gruyter Expositions in Mathematics
Infinite Dimensional Lie Superalgebras
Inbunden, Engelska, 1992
2 256 kr
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No detailed description available for "Infinite Dimensional Lie Superalgebras".
2 818 kr
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No detailed description available for "The Riemann Zeta-Function".
1 971 kr
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No detailed description available for "Contact Geometry and Linear Differential Equations".
3 218 kr
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No detailed description available for "Elliptic Problems in Domains with Piecewise Smooth Boundaries".
Del 8 - De Gruyter Expositions in Mathematics
Nilpotent Groups and their Automorphisms
Inbunden, Engelska, 1993
2 256 kr
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No detailed description available for "Nilpotent Groups and their Automorphisms".
2 818 kr
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No detailed description available for "The Restricted 3-Body Problem: Plane Periodic Orbits".
Del 15 - De Gruyter Expositions in Mathematics
Orthogonal Decompositions and Integral Lattices
Inbunden, Engelska, 1994
2 648 kr
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No detailed description available for "Orthogonal Decompositions and Integral Lattices".
Moduli Spaces of Abelian Surfaces
Compactification, Degenerations and Theta Functions
Inbunden, Engelska, 1993
2 256 kr
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No detailed description available for "Moduli Spaces of Abelian Surfaces".
2 533 kr
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No detailed description available for "Unitary Representation Theory of Exponential Lie Groups".
Link Invariants of the Chern-Simons Field Theory
New Developments in Topological Quantum Field Theory
Inbunden, Engelska, 1993
1 954 kr
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No detailed description available for "The Link Invariants of the Chern-Simons Field Theory".
2 373 kr
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No detailed description available for "Semigroups in Algebra, Geometry and Analysis".
Del 22 - De Gruyter Expositions in Mathematics
Introduction to Lorentz Surfaces
Inbunden, Engelska, 1996
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No detailed description available for "An Introduction to Lorentz Surfaces".
2 256 kr
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No detailed description available for "The Adjunction Theory of Complex Projective Varieties".
3 080 kr
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No detailed description available for "Conformal Geometry of Discrete Groups and Manifolds".
2 648 kr
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No detailed description available for "Evolution Equations and Lagrangian Coordinates".
2 394 kr
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No detailed description available for "Lectures in Real Geometry".
Monoids, Acts and Categories
With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers
Inbunden, Engelska, 2000
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No detailed description available for "Monoids, Acts and Categories".
3 080 kr
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No detailed description available for "Nonlinear Wave Equations Perturbed by Viscous Terms".
3 080 kr
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No detailed description available for "Algebra in the Stone-Cech Compactification".
2 810 kr
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No detailed description available for "Character Theory of Finite Groups".
1 971 kr
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Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists a rule which generates the sequence. The concept automatic sequences has special applications in algebra, number theory, finite automata and formal languages, combinatorics on words.The text deals with different aspects of automatic sequences, in particular:· a general introduction to automatic sequences· the basic (combinatorial) properties of automatic sequences· the algebraic approach to automatic sequences· geometric objects related to automatic sequences.