Graded Orders is popular PDF and ePub book, written by F.M., van Oystaeyen in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Graded Orders can be Read Online from any device for your convenience.
Graded Orders Book PDF Summary
In a clear, well-developed presentation this book provides the first systematic treatment of structure results for algebras which are graded by a goup. The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains. This yields the construction of generalized Rees rings corresponding to the central ramification divisor of the orders and the algebraic properties of the constructed orders. The graded methods allow the study of regularity conditions on order. The book also touches upon representation theoretic methods, including orders of finite representation type and other aspects of this theory applicable to the classification of orders. The final chapter describes the ring theoretical approach to the classification of orders of global dimension two, originally carried out by M. Artin using more geometrical methods. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in non-commutative algebra.
Detail Book of Graded Orders PDF
- Author : F.M., van Oystaeyen
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461239444
- Genre : Mathematics
- Total Page : 211 pages
- Language : English
- PDF File Size : 9,5 Mb
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