Almost Ring Theory

• Main Authors: Gabber, Ofer (Author, http://id.loc.gov/vocabulary/relators/aut), Ramero, Lorenzo (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1800
• Subjects: Algebra.; Commutative algebra.; Commutative rings.; Algebraic geometry.; Category theory (Mathematics).; Homological algebra.; Field theory (Physics).; Commutative Rings and Algebras.; Algebraic Geometry.; Category Theory, Homological Algebra.; Field Theory and Polynomials.

This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "almost ring". Almost rings are the commutative unitary monoids in a tensor category obt...