Abstract Flat Projective Geometry

K-FLAT PROJECTIVE FUZZY QUANTALES

In this paper, we introduce the notion of {bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we  prove that {bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {bf K} as examples.

Abstract algebra, projective geometry and time encoding of quantum information

algebra, projective geometry and time encoding of quantum information Michel Planat, Metod Saniga To cite this version: Michel Planat, Metod Saniga. Abstract algebra, projective geometry and time encoding of quantum information. World Scientific. Endophysics, Time, Quantum and the Subjective, World Scientific, pp. 409-426, 2005, eds R. Buccheri, A.C. Elitzur and M. Saniga. HAL Id: hal-00004513 ...

Flat Projective Connections

Finite Flat and Projective Dimension

known as the left big finitistic projective dimension of A, is finite. Here pdM denotes the projective dimension of M . Unfortunately, this number is not known to be finite even if A is a finite dimensional algebra over a field, where, indeed, its finiteness is a celebrated conjecture. On the other hand, for such an algebra, finite flat certainly implies finite projective dimension, simply beca...

Projective Geometry Considered Harmful

Methods based on projective geometry have become popular in machine vision because they lead to elegant mathematics, and easy-to-solve linear equations [Longuett-Higgins 81, Hartley 97a, Quan & Lan 99]. It is often not realized that one pays a heavy price for this. Such method do not correctly model the physics of image formation and as a result require more correspondences and are considerably...