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Special Pseudo Linear Algebras Using [0, N)

W. B. Vasantha Kandasamy, Florentin Smarandache

Abstract

In this book we introduce some special type of linear algebras called pseudo special linear algebras using the interval [0, n). These new types of special pseudo interval linear algebras has several interesting properties. Special pseudo interval linear algebras are built over the subfields in Zn where Zn is a S-ring. We study the substructures of them. The notion of Smarandache special interval pseudo linear algebras and Smarandache strong special pseudo interval linear algebras are introduced. The former S-special interval pseudo linear algebras are built over the S-ring itself. Study in this direction has yielded several interesting results. S-strong special pseudo interval linear algebras are built over the S-pseudo interval special ring [0, n). SSS-pseudo special linear algebras are mainly introduced for only on these new structures, study, develop, describe and define the notion of SSS-linear functionals, SSS-eigen values, SSS-eigen vectors and SSS-polynomials.

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