2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63150We develop almost ring theory, which is a domain of mathematics somewhere halfway between ring theory and category theory (whence the difficulty of finding appropriate MSC-class numbers). We apply this theory to valuation theory and to p-adic analytic geometry. You should really have a look at the introductions (each chapter has one).This is the sixth - and assuredly final - release of "Almost ring theory". It is about 230 page long; it is written in AMSLaTeX and uses XYPic and a few not so standard fonts. Any future corrections (mainly typos, I expect) will be found on my personal web page: http://www.math.u-bordeaux.fr/~ramero/Algebraic GeometryCommutative AlgebraNumber TheoryRings and Algebras13D03, 12J20, 14A99, 14F99, 18D10, 14G22text