Algebra

1311 Submissions

[2] viXra:1311.0040 [pdf] submitted on 2013-11-06 00:52:42

Special Type of Subset Topological Spaces

Authors: W. B. Vasantha Kandasamy, Florentin Smarandache
Comments: 241 Pages.

Special type of subset topological spaces introduced by the authors pave way for the topological spaces, which basically inherit the algebraic structures from which the subsets are taken. This study is new and happens to be a mixture of algebra and topology.
Category: Algebra

[1] viXra:1311.0039 [pdf] submitted on 2013-11-06 00:54:17

Subset Semilinear Algebras

Authors: W. B. Vasantha Kandasamy, Florentin Smarandache
Comments: 254 Pages.

The authors use the subset semigroups over the semifields to build the semilinear algebras of both finite order and infinite order. The concept of subset linear independence and subset linear dependence which leads to the dimension and basis of subset semilinear algebras is analyzed in this book.
Category: Algebra