Vectors Space and Module

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Dr. A. Usha
M. Anbukkarasi

Abstract

A vector space is a set that is closed under finite vector addition and scalar multiplication. It has scalars with multiplication by complex numbers, rational numbers or any field. In abstract algebra, the fundamental algebraic structure is called as module. In this vector space and module to be same in terms of definition. Module have coefficients in much more general algebraic objects. But when we analysed deeply, they are quite different as discussed in this paper.

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