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Introduction to the theory of topological rings and modules
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ISBN: 0824793234 Year: 1995 Publisher: New York Marcel Dekker

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C [infinity]-differentiable spaces
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ISBN: 9783540200727 354020072X Year: 2003 Publisher: Berlin: Springer,

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Topological rings
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ISBN: 0444894462 9786611985073 1281985074 0080872891 9780444894465 9780080872896 9781281985071 Year: 2005 Publisher: Amsterdam North-Holland

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This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zor

A classification theorem for homotopy commutative H-spaces with finitely generated mod 2 cohomology rings
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ISBN: 0821825143 9780821825143 Year: 1991 Volume: 449 Publisher: Providence (R.I.): American mathematical society,


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Equational compactness in rings: : with applications to the theory of topological rings
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ISBN: 0387095470 9786612290787 1282290789 0387095489 3540095470 3540348654 3540095489 3540348638 9783540095477 9783540095484 9780387095486 Year: 1979 Volume: 745 Publisher: Berlin: Springer,

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The exceptional cosmic history and the fabulous destinies of exploding stars - supernovae and gamma-ray bursters - are highly fertile areas of research and are also very special tools to further our understanding of the universe. In this book, cosmologists Dr Alain Mazure and Dr Stéphane Basa throw light on the assemblage of facts, hypotheses and cosmological conclusions and show how these ˜beacons' illuminate their immediate surroundings and allow us to study the vast cosmos, like searchlights revealing the matter comprising our universe.


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Rigid character groups, Lubin-Tate theory, and (φ,Γ)-modules
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ISBN: 1470456583 Year: 2020 Publisher: Providence, Rhode Island : American Mathematical Society,

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The construction of the p-adic local Langlands correspondence for mathrm{GL}_2(mathbf{Q}_p) uses in an essential way Fontaine's theory of cyclotomic (varphi ,Gamma )-modules. Here cyclotomic means that Gamma = mathrm {Gal}(mathbf{Q}_p(mu_{p^infty})/mathbf{Q}_p) is the Galois group of the cyclotomic extension of mathbf Q_p. In order to generalize the p-adic local Langlands correspondence to mathrm{GL}_{2}(L), where L is a finite extension of mathbf{Q}_p, it seems necessary to have at our disposal a theory of Lubin-Tate (varphi ,Gamma )-modules. Such a generalization has been carried out, to some extent, by working over the p-adic open unit disk, endowed with the action of the endomorphisms of a Lubin-Tate group. The main idea of this article is to carry out a Lubin-Tate generalization of the theory of cyclotomic (varphi ,Gamma )-modules in a different fashion. Instead of the p-adic open unit disk, the authors work over a character variety that parameterizes the locally L-analytic characters on o_L. They study (varphi ,Gamma )-modules in this setting and relate some of them to what was known previously.

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