In this book the author analyzes the Smarandache linear algebra, and introduces several other concepts like the Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models ? both of these research topics have intense industrial applications. The Smarandache linear algebra, is defined to be a Smarandache vector space of type II, on which there is an additional operation called product, such that for all a, b in V, ab is in V.The Smarandache vector space of type II is defined to be a module V defined over a Smarandache ring R such that V is a vector space over a proper subset k of R, where k is a field.Pdf W. B. Vasantha Kandasamy. S-reducible, 91-92 S-representation, 88-89 S- representative, 92-93 S-right regular representation, 88-89 S-ring, 65 S-R- module, 65-66 S-scalar, ... S-super linear algebra, 70 S-super vector space, 70 S- symmetric bi-linear form, 87-88 S-symmetric ring, 96 S-symmetric, 87-88 S-T- annihilator, anbsp;...
|Title||:||Linear Algebra and Smarandache Linear Algebra|
|Author||:||W. B. Vasantha Kandasamy|
|Publisher||:||Infinite Study - 2003|