On extended implication groupoids

In this paper we generalize the notion of an implication groupoid and introduce ei-groupoid, and investigate related properties. We study the notion of filters in this structure and we give the construction of implication algebra from ei-groupoid. Finally, we prove that for distributive ei-groupoids...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2019-07, Vol.25 (2), p.237-247
Main Author: Rezaei, Akbar
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Original Article
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Summary:In this paper we generalize the notion of an implication groupoid and introduce ei-groupoid, and investigate related properties. We study the notion of filters in this structure and we give the construction of implication algebra from ei-groupoid. Finally, we prove that for distributive ei-groupoids filters coincide with ideals.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-018-0194-x