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Non-hausdorff Completion, A: The Abelian Category Of C-complete Left Modules Over A Topological Ring
Engelsk
Bogcover for Non-hausdorff Completion, A: The Abelian Category Of C-complete Left Modules Over A Topological Ring af Saul Lubkin, 9789814667388
Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9789814667388
Indbinding:
Hardback
ISBN-10:
9814667382
Kategori:
Udg. Dato:
10 jul 2015
Størrelse i cm:
23,7 x 16,0 x 2,4
Oplagsdato:
10 jul 2015
Forfatter(e):
Genre:

Non-hausdorff Completion, A: The Abelian Category Of C-complete Left Modules Over A Topological Ring

Engelsk
Hardback 2015
Format:

Bog beskrivelse

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.

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Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9789814667388
Indbinding:
Hardback
ISBN-10:
9814667382
Kategori:
Udg. Dato:
10 jul 2015
Størrelse i cm:
23,7 x 16,0 x 2,4
Oplagsdato:
10 jul 2015
Forfatter(e):
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