Algebra

1301 Submissions

[2] viXra:1301.0175 [pdf] submitted on 2013-01-28 04:43:38

Some New Wedge Products

Authors: Martin Erik Horn
Comments: 25 Pages. 6 Figures.

Quarks are described mathematically by (3 x 3) matrices. To include these quarkonian mathematical structures into Geometric Algebra it is helpful to restate Geometric Algebra in the mathematical language of (3 x 3) matrices. It will be shown in this paper how (3 x 3) permutation matrices can be interpreted as unit vectors. Special emphasis will be given to the definition of some wedge products which fifit better to this algebra of (3 x 3) matrices than the usual Geometric Algebra wedge product. And as S3 permutation symmetry is flavour symmetry a unifified flavour picture of Geometric Algebra will emerge.
Category: Algebra

[1] viXra:1301.0049 [pdf] submitted on 2013-01-10 09:26:05

Quasi Set Topological Vector Subspaces

Authors: W. B. Vasantha Kandasamy, Florentin Smarandache
Comments: 152 Pages.

In this book, the authors introduce the notion of quasi set topological vector subspaces. The advantage of such study is that given a vector subspace we can have only one topological space associated with the collection of all subspaces. However, we can have several quasi set topological vector subspaces of a given vector space. Further, we have defined topological spaces for set vector spaces, semigroup vector spaces and group vector spaces.
Category: Algebra