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Injective modules (Algebra) --- Quotient rings

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Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text.

Lie groups. --- Modules (Algebra) --- Categories (Mathematics)

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Radical theory --- RINGS (Algebra) --- Modules (Algebra) --- Algebres et anneaux associatifs --- Ideaux et modules --- Categories (mathematiques) --- Categories abeliennes

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Ordered algebraic structures --- 512.55 --- Associative algebras --- -Associative rings --- -Galois theory --- -Nonassociative algebras --- -Nonassociative rings --- -Rings (Algebra) --- Algebras, Non-associative --- Algebras, Nonassociative --- Non-associative algebras --- Algebra, Abstract --- Algebras, Linear --- Equations, Theory of --- Group theory --- Number theory --- Rings (Algebra) --- Algebras, Associative --- Algebra --- Rings and modules --- Congresses --- -Rings and modules --- 512.55 Rings and modules --- -512.55 Rings and modules --- Associative rings --- Galois theory --- Nonassociative algebras --- Nonassociative rings --- Associative rings - Congresses --- Nonassociative rings - Congresses --- Associative algebras - Congresses --- Nonassociative algebras - Congresses --- Galois theory - Congresses

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System design --- Data processing --- Congresses --- 681.3*H10 --- -681.3*D22 --- 681.3*H0 --- 681.3*H1 --- Design, System --- Systems design --- Electronic data processing --- System analysis --- Computerwetenschap--?*H10 --- -Congresses --- Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- Computerwetenschap--?*H0 --- Models and principles (Information systems) --- 681.3*H1 Models and principles (Information systems) --- 681.3*D22 Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- 681.3*D22 --- Data processing&delete& --- System design - Data processing - Congresses