2002/01/18 by Ofer Gabber, Gabber, Ofer, Lorenzo Ramero +1
Mathematics · #12J20 #13D03 #14A99 #14F99 #14G22 #18D10 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.AC #math.AG #math.NT #math.RA #msc:12J20 #msc:13D03 #msc:14A99 #msc:14F99 #msc:14G22 #msc:18D10
paper · pdf · doi:10.48550/arxiv.math/0201175
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/
We 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).