# Algebra

## 1201 Submissions

[2] **viXra:1201.0098 [pdf]**
*submitted on 2012-01-25 14:05:51*

### Non Associative Algebraic Structures Using Finite Complex Numbers

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

**Comments:** 213 Pages.

The authors have used the concept of finite complex modulo integers to construct non associative algebraic structures like groupoids, loops and quasi-loops.
Using these structures we built non associative complex matrix groupoids and complex polynomial groupoids.
The authors suggest over 300 problems and some are at the research level.

**Category:** Algebra

[1] **viXra:1201.0066 [pdf]**
*submitted on 2012-01-16 10:44:27*

### Study of Natural Class of Intervals Using (-∞, ∞) and (∞, ∞)

**Authors:** W. B. Vasantha Kandasamy, Florentin Smarandache, D. Datta, H. S. Kushwaha, P. A. Jadhav

**Comments:** 181 Pages.

In this book the authors introduce and study the properties of natural class of intervals built using
(-∞, ∞) and (∞, -∞). The operations on these matrices with entries from natural class of intervals behave like usual reals. So working with these interval matrices takes the same time as usual matrices. Hence, when applying them to fuzzy finite element methods or finite element methods the determination of solution is simple and time saving.

**Category:** Algebra