The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 2 Issue 1
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- Pages.43-51
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- 1995
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
BASIS FOR ALMOST LINEAR SPACES
Abstract
In this paper, we introduce the almost linear spaces, a generalization of linear spaces. We prove that if the almost linear space X has a finite basis then, as in the case of a linear space, the cardinality of bases for the almost linear space X is unique. In the case X = Wx + Vx, we prove that B'= {
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