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