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

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AuthorLubkin Saul
ISBN9789814667388
Published LanguageEnglish
Publication Year2015
PublisherWorld Scientific
BindingHardback
Original Price$88
Pages352
Ships By2-3 days

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, 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.

About the author
Univ of Rochester, USA

Additional information

Weight0.643 kg
Dimensions22.9 × 15.2 cm
Author

ISBN

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Pages

352

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2-3 days