Fundamental hoop-algebras

R Borzooei, H Varasteh, K Borna
2015 RATIO MATHEMATICA   unpublished
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.
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