Linear Cech closure spaces

In this paper, we introduce the concept of linear Cech closure spaces and establish the properties of open sets in linear Cech closure spaces (LCCS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, -open sets, sgc-dense sets and compact sets in LCCS. We also discuss the concept of relative Cech closure operator, meet and product linear Cech closure operators. Lastly, we describe the Moore class on the LCCS and prove that it is a vector lattice with suffcient properties.