~ ABSTRACT. Let L/K be a right quadratic (skew) field extension and let P be a 3-dimensional projective space over K which is embedded in a 3dimensional projective space P over L. Moreover let I be a line of P which ~ carries no point of P. The main result is that even when L or K is a skew ~ field the following holds true: A desarguesian spread of P is given by the ~ ~ set of all lines of P wh...

In this paper a duality principle is formulated for statements about skew field extensions of finite (left or right) degree. A proof for this duality principle is given by constructing for every extension L/K of finite degree a dual extension LJK, . These dual extensions are constructed by embedding a given L/K in an inner Galois extension N/K. The Appendix shows that such an embedding can alwa...

Recommended by Francois Goichot In this article, we study the relationship between left right zip property of R and skew polynomial extension over R, using the skew versions of Armendariz rings.