A Non-Hausdorff Completion: The Abelian Category of C-Complete Left Modules Over A Topological Ring - Image 1

£54.07

Scientific Publishing A Non-Hausdorff Completion: The Abelian Category of C-Complete Left Modules Over A Topological Ring

Name: A Non-Hausdorff Completion: The Abelian Category of C-Complete Left Modules Over A Topological Ring
Brand: Scientific Publishing
Price: 54.07 GBP
Availability: InStock

Algebra

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Review The book under review is very well written and gives a good overview of several results of topological algebraic structures — topological additive groups, topological rings and topological A-modules over a topological ring A. It may be used by mathematicians, physicists and graduate students. --Zentralblatt MATH Product Description This book introduces entirely new invariants never considered before, in homological algebra and commutative (and even non-commutative) algebra. The C-completion C(M), and higher C-completions, C<sub>n</sub>(M), are defined for an arbitrary left module M over a topological ring A. Spectral sequences are defined that use these invariants. Given a left module over a topological ring A, under mild conditions the usual Hausdorff completion: M^ can be recovered from the C-completion C(M), by taking the quotient module by the closure of {0}.The new invariants and tools in this book are expected to be used in the study of p-adic cohomology in algebraic geometry; and also in the study of p-adic Banach spaces — by replacing the cumbersome "complete tensor product" of p-adic Banach spaces, with the more sophisticated "C-complete tensor product", discussed in this book.It is also not unlikely that the further study of these new invariants may well develop into a new branch of abstract mathematics - connected with commutative algebra, homological algebra, and algebraic topology. From the Back Cover This book introduces entirely new invariants never considered before, in homological algebra and commutative (and even non-commutative) algebra. The C-completion C(M), and higher C-completions, Cn(M), are defined for an arbitrary left module M over a topological ring A. Spectral sequences are defined the use these invariants. Given a left module over a topological ring A, under mild conditions the usual Hausdorff completion: M can be recovered from the C(M), by taking the quotient module by the closure of {0}.

Product Specifications

Brand: Scientific Publishing
Format: hardcover
ASIN: 9814667382
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 28 July 2015
Listed Since: 02 April 2015

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Scientific Publishing A Non-Hausdorff Completion: The Abelian Category of C-Complete Left Modules Over A Topological Ring

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