On Hyper Hoop-algebras
Rajabali Borzooei, Hamid Reza Varasteh, Keivan Borna · DOAJ (DOAJ: Directory of Open Access Journals) · 2016
In this paper, we apply the hyper structure theory to hoop-algebras and introduce the notion of (quasi) hyper hoop-algebra which is a generalization of hoop-algebra and investigate some related properties. We also introduce the notion of (weak)filters on hyper hoop-algebras, and give several properties of them. Finally, we characterize the (weak) filter generated by a non-empty subset of a hyper hoop-algebra.