# Algebra

## 1207 Submissions

[2] **viXra:1207.0076 [pdf]**
*submitted on 2012-07-19 20:57:11*

### Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

**Authors:** W. B. Vasantha Kandasamy, Florentin Smarandache

**Comments:** 150 Pages.

In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a > b. Further, we introduce a complex modulo integer in Zn (n, a positive integer) and denote it by i_F with i_F^2 = n-1.

**Category:** Algebra

[1] **viXra:1207.0051 [pdf]**
*submitted on 2012-07-13 00:51:32*

### The Fundamental Theorem of Galois Theory

**Authors:** Pierre-Yves Gaillard

**Comments:** 2 Pages.

We give a short and self-contained proof of the Fundamental Theorem of Galois Theory for finite degree extensions.

**Category:** Algebra