Title of article :
Hyper vector spaces over Krasner hyperelds
Author/Authors :
Al Tahan, M Department of Mathematics - Lebanese International University, Lebanon , Davvaz, B Department of Mathematics - Yazd University, Yazd, Iran
Abstract :
In this paper, we study hyper vector spaces over Krasner
hyperelds. First, we introduce the notions of linearly
independence (dependence) and basis for a hyper vector
space. Second, we investigate their properties and prove
some results for hyper vector spaces that are similar to
that of vector spaces over elds. Then, we dene linear
transformations over hyper vector spaces and investigate
their properties. Finally, we prove the dimension theorem
for linear transformations.
Keywords :
linear transformation , basis , lin- early independent , subhyperspace , hyper vec- tor space , Krasner hyperfield
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
