# Algebra

## 1007 Submissions

[5] **viXra:1007.0029 [pdf]**
*submitted on 13 Mar 2010*

### Super Linear Algebra

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

**Comments:** 294 pages

In this book, the authors introduce the notion of Super linear
algebra and super vector spaces using the definition of super
matrices defined by Horst (1963). This book expects the readers
to be well-versed in linear algebra.

**Category:** Algebra

[4] **viXra:1007.0027 [pdf]**
*submitted on 13 Mar 2010*

### Superbimatrices and Their Generalizations

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

**Comments:** 410 pages

The systematic study of supermatrices and super linear
algebra has been carried out in 2008. These new algebraic
structures find their applications in fuzzy models, Leontief
economic models and data-storage in computers.

**Category:** Algebra

[3] **viXra:1007.0014 [pdf]**
*submitted on 13 Mar 2010*

### Special Set Linear Algebra and Special Set Fuzzy Linear Algebra

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

**Comments:** 469 pages

This book for the first time introduces the notion of special
set linear algebra and special set fuzzy linear algebra. This
is an extension of the book set linear algebra and set fuzzy
linear algebra. These algebraic structures basically exploit
only the set theoretic property, hence in applications one
can include a finite number of elements without affecting
the systems property. These new structures are not only
the most generalized structures but they can perform multi
task simultaneously; hence they would be of immense use
to computer scientists.

**Category:** Algebra

[2] **viXra:1007.0009 [pdf]**
*submitted on 7 Jul 2010*

### Neutrosophic Bilinear Algebras and Their Generalizations

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

**Comments:** 404 pages.

This book introduces the concept of neutrosophic bilinear
algebras and their generalizations to n-linear algebras, n>2.

**Category:** Algebra

[1] **viXra:1007.0004 [pdf]**
*submitted on 5 Jul 2010*

### On Smarandache Semigroups

**Authors:** A.K.S.Chandra Sekhar Rao

**Comments:** 4 pages.

The notion of completely regular element of a semigroup is applied to characterize
Smarandache Semigroups. Examples are provided for justification.

**Category:** Algebra