[7] **viXra:1411.0159 [pdf]**
*submitted on 2014-11-15 09:45:29*

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

**Comments:** 252 Pages.

In this book we introduce several algebraic structures on the special fuzzy interval [0, 1). This study is different from that of the algebraic structures using the interval [0, n) n ≠ 1, as these structures on [0, 1) has no idempotents or zero divisors under ×. Further [0, 1) under product × is only a semigroup. However by defining min(or max) operation in [0, 1); [0, 1) is made into a semigroup.

**Category:** Algebra

[6] **viXra:1411.0158 [pdf]**
*submitted on 2014-11-15 09:47:23*

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

**Comments:** 218 Pages.

In this book authors for the first time introduce a new method of building algebraic structures on the interval [0, n). This study is interesting and innovative. However, [0, n) is a semigroup under product, × modulo n and a semigroup under min or max operation. Further [0, n) is a group under addition modulo n.

**Category:** Algebra

[5] **viXra:1411.0154 [pdf]**
*submitted on 2014-11-15 10:03:06*

**Authors:** Marius Coman

**Comments:** 132 Pages.

Prime numbers have always fascinated mankind. For mathematicians, they are a kind of “black sheep” of the family of integers by their constant refusal to let themselves to be disciplined, ordered and understood. However, we have at hand a powerful tool, insufficiently investigated yet, which can help us in understanding them: Fermat pseudoprimes. It was a night of Easter, many years ago, when I rediscovered Fermat’s "little" theorem. Excited, I found the first few Fermat absolute pseudoprimes (561, 1105, 1729, 2465, 2821, 6601, 8911…) before I found out that these numbers are already known. Since then, the passion for study these numbers constantly accompanied me.

**Category:** Algebra

[4] **viXra:1411.0153 [pdf]**
*submitted on 2014-11-15 10:04:38*

**Authors:** Marius Coman

**Comments:** 84 Pages.

The present collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like prime numbers, Poulet numbers, Carmichael numbers, Sophie Germain primes etc.

**Category:** Algebra

[3] **viXra:1411.0149 [pdf]**
*submitted on 2014-11-15 10:11:33*

**Authors:** Marius Coman

**Comments:** 27 Pages.

It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about.

**Category:** Algebra

[2] **viXra:1411.0148 [pdf]**
*submitted on 2014-11-15 10:12:32*

**Authors:** Marius Coman

**Comments:** 43 Pages.

This collection of papers brings together several articles regarding primes, submitted by the author to the preprint scientific database Vixra.

**Category:** Algebra

[1] **viXra:1411.0147 [pdf]**
*submitted on 2014-11-15 10:13:43*

**Authors:** Marius Coman

**Comments:** 81 Pages.

This collection of articles seeks to expand the knowledge on some well known classes of primes, like for instance Sophie Germain primes, but also to define new classes of primes, like for instance “ACPOW chains of primes”, or classes of integers directly related to primes, like for instance “chameleonic numbers”.

**Category:** Algebra