Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070420181101Linear v{C}ech closure spaces261268542813ENT. M. ChackoDepartment of Mathematics, Christian College, Chengannur-689122, Kerala, IndiaD. SushaDepartment of Mathematics, Catholicate College, Pathanamthitta-689645, Kerala, IndiaJournal Article20180209In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and product linear v{C}ech closure operators. Lastly, we describe the Moore class on the Lv{C}CS and prove that it is a vector lattice with sufficient properties.http://jlta.iauctb.ac.ir/article_542813_03b86a3d7726abe5dfb824debdc45ae9.pdf