F Gaea

The F**King Book

These writings are a celebration of the evolution of our habitat and its inhabitants from time immemorial to present day. Together with our singular appreciation for the most spoken word of all time, a word that conveys different emotions, has multiple meanings, a word that is never used out of context, always grammatically correct, spans cultural, geographical, political and national barriers, brings all communications to a level playing field. This book is dedicated to everyone who is misguided enough to believe the world has evolved au natural. Hopefully, once reading this literary milestone you will come to realise this worlds original inhabitants were put here by some Universal Interplanetary Council Correctional Department to facilitate their rehabilitation, all of these early settlers were undoubtedly mentally and/or criminally insane and have unwittingly spawned what we know today as a seething mass of institutionalised and certifiable nutters of which you are undoubtedly one.

Localization and Sheaves

This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry.

Cahiers de Linguistique Théorique Et Appliquée