Fundamental hoop-algebras
R. A. Borzooei, Hamid Reza Varasteh, Keivan Borna · DOAJ (DOAJ: Directory of Open Access Journals) · 2015
In this paper, we investigate some results on hoop algebras and hyper hoop-algebras. We construct a hoop and a hyper hoop on any countable set. Then using the notion of the fundamental relation we define the fundamental hoop and we show that any hoop is a fundamental hoop and then we construct a fundamental hoop on any non-empty countable set.