Additive Maps Preserving the Essential Points Between Weak Hypervector Spaces

Document Type : Research Paper


Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.


IIn this paper, we introduce the concept of regular linear operators. We prove that the regular linear operators preserve the normality, linear independence and dimension of weak hypervector spaces and prove some important results.