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Differential Tensor Algebras and their Module Categories: 362 (London Mathematical Society Lecture Note Series, Series Number 362) - Softcover
This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. It involves reduction techniques which have proved to be very useful in the development of representation theory of finite dimensional algebras. The main results obtained with these methods are presented in an elementary and self contained way. The authors provide a fresh point of view of well known facts on tame and wild differential tensor algebras, on tame and wild algebras, and on their modules. But there are also some new results and some new proofs. Their approach presents a formal alternative to the use of bocses (bimodules over categories with coalgebra structure) with underlying additive categories and pull-back reduction constructions. Professional mathematicians working in representation theory and related fields, and graduate students interested in homological algebra will find much of interest in this book.
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Review:
'The authors provide all minute details of every proof. the work is a remarkable example of what the reviewer would call 'open source' mathematics. In addition, they include numerous historical references ... Many sections of the book exercises, and solutions to some of those can be found in the last section.' Alex Martinskovsky, Mathematical Reviews
Book Description:
This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. The authors introduce new findings and proofs as well as providing a fresh perspective on established results.
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- PublisherCambridge University Press
- Publication date2009
- ISBN 10 0521757681
- ISBN 13 9780521757683
- BindingPaperback
- Edition number1
- Number of pages464
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Differential Tensor Algebras and their Module Categories: 362 (London Mathematical Society Lecture Note Series, Series Number 362)
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Differential Tensor Algebras and their Module Categories (London Mathematical Society Lecture Note Series) by Bautista, R., Salmerón, L., Zuazua, R. [Paperback ]
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DIFFERENTIAL TENSOR ALGEBRAS AND THEIR MODULE CATEGORIES (LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES)
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