On Hyper Hoop-algebras
DOI:
https://doi.org/10.23755/rm.v30i1.14Keywords:
Hoop-algebra, (quasi) hyper hoop-algebra, (weak) filter.Abstract
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.
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