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# N-Linear Algebra of Type 2

## By Smarandache, Florentin

Book Id: WPLBN0002828454
Format Type: PDF (eBook)
File Size: 3.34 mb
Reproduction Date: 7/31/2013

 Title: N-Linear Algebra of Type 2 Author: Smarandache, Florentin Volume: Language: English Subject: Collections: Historic Publication Date: 2013 Publisher: World Public Library Member Page: Florentin Smarandache Citation APA MLA Chicago Smarandache, F., & Vasantha Kandasamy, W. B. (2013). N-Linear Algebra of Type 2. Retrieved from http://worldebookfair.com/

Description
This book has three chapters. In the first chapter the notion of n-vector spaces of type II are introduced. This chapter gives over 50 theorems. Chapter two introduces the notion of n-inner product vector spaces of type II, n-bilinear forms and n-linear functionals. The final chapter suggests over a hundred problems. It is important that the reader should be well versed with not only linear algebra but also n-linear algebras of type I.

Summary
This book is a continuation of the book n-linear algebra of type I and its applications. Most of the properties that could not be derived or defined for n-linear algebra of type I is made possible in this new structure: n-linear algebra of type II which is introduced in this book.

Excerpt
In this chapter we for the first time introduce the notion of n-vector space of type II. These n-vector spaces of type II are different from the n-vector spaces of type I because the n-vector spaces of type I are defined over a field F where as the n-vector spaces of type II are defined over n-fields. Some properties enjoyed by n-vector spaces of type II cannot be enjoyed by n-vector spaces of type I. To this; we for the sake of completeness just recall the definition of n-fields in section one and n-vector spaces of type II are defined in section two and some important properties are enumerated.