Geometry of Derivation, Volume II: Theory of Skewfield Flocks: 2

This book is concerned mainly with the theory of flocks over skewfields.It begins with discussing what conditions would be required to find a possible way to extend flocks of hyperbolic quadrics and flocks of quadratic cones.This theory completely changes the idea of derivation of an affine plane that contains a derivable net. This volume will give the necessary theory for the reader to understand how to construct examples and become researchers in the field.It shows how to construct four types of determinants, the (i,j)-determinants, which if never zero for the non-zero matrices of the spread will indicate that the first condition for existence of a spread then holds.If applicable, the left unwrapping principle, if this also is valid, will show that a left flock spread is constructed. The book continues the presentation in Geometry of Derivations with Applications, Volume I, and a third volume, Geometry of Derivation, Volume III: Classification of Skewfield Flocks (2026) is also avail