Non hausdorff Completion A The Abelian Category Of C complete Left Modules Over A Topological Ring is popular PDF and ePub book, written by Saul Lubkin in 2015-05-28, 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, Non hausdorff Completion A The Abelian Category Of C complete Left Modules Over A Topological Ring can be Read Online from any device for your convenience.
Non hausdorff Completion A The Abelian Category Of C complete Left Modules Over A Topological Ring Book PDF Summary
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 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.
Detail Book of Non hausdorff Completion A The Abelian Category Of C complete Left Modules Over A Topological Ring PDF
- Author : Saul Lubkin
- Release : 28 May 2015
- Publisher : World Scientific Publishing Company
- ISBN : 9789814667401
- Genre : Mathematics
- Total Page : 352 pages
- Language : English
- PDF File Size : 21,8 Mb
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