Filter theory on hyper equality algebras
In this paper, some results related to properties of various versions in equality algebras are given by using the notion of hyper equality algebras. We introduce some types of filters such as implicative, positive implicative and fantastic filters on hyper equality algebras and prove some results de...
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Published in | Soft computing (Berlin, Germany) Vol. 25; no. 11; pp. 7257 - 7269 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.06.2021
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, some results related to properties of various versions in equality algebras are given by using the notion of hyper equality algebras. We introduce some types of filters such as implicative, positive implicative and fantastic filters on hyper equality algebras and prove some results determining the relation between these filters. Further, it is shown that every (
S
∼
-reflexive) positive implicative filter of a hyper equality algebra
H
is a weak (strong) filter of
H
. Finally, we prove that every
S
∼
-reflexive implicative filter of
H
is a (fantastic filter) positive implicative filter of
H
. |
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ISSN: | 1432-7643 1433-7479 |
DOI: | 10.1007/s00500-021-05832-z |