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  1. Bog
  2. Matematik
  3. Algebra
Non-hausdorff Completion, A: The Abelian Category Of C-complete Left Modules Over A Topological Ring
Af: Saul Lubkin
Engelsk Hardback
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Non-hausdorff Completion, A: The Abelian Category Of C-complete Left Modules Over A Topological Ring

Af: Saul Lubkin
Engelsk Hardback
Hardback
821 kr
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Om denne bog

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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Product detaljer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9789814667388
Indbinding:
Hardback
Udgave:
ISBN-10:
9814667382
Kategori:
Udg. Dato:
10 jul 2015
Længde:
24mm
Bredde:
160mm
Højde:
237mm
Forlag:
World Scientific Publishing Co Pte Ltd
Oplagsdato:
10 jul 2015
Forfatter(e):
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