Fundamental hoop-algebras

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 fun...

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Bibliographic Details
Published in:Ratio mathematica 2015-12, Vol.29 (1), p.25-40
Main Authors: Borzooei, R A, Varasteh, H R, Borna, K
Format: Article
Language:English
Subjects:
Algebra
hoop algebras, hyper hoop algebras, (strong) regular rela- tion,fundamental relations
Online Access:Get full text
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Summary: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.
ISSN:1592-7415
2282-8214
DOI:10.23755/rm.v29i1.20