| Autor: |
Paad Akbar, Bakhshi Mahmood, Jafari Azam, Rahimi Maryam |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Discussiones Mathematicae - General Algebra and Applications, Vol 42, Iss 1, Pp 31-49 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2084-0373 |
| DOI: |
10.7151/dmgaa.1382 |
| Popis: |
In this paper, the notions of n-fold positive implicative prefilter and n-fold implicative prefilter in EQ-algebras are introduced and several properties, characterizations and equivalent conditions are provided. It is proved that the quotient EQ-algebra induced by an n-fold positive implicative prefilter is n-idempotent. Also, it is proved that in an n-idempotent EQ-algebra, any filter is an n-fold positive implicative filter. In the sequel, we investigate the relationships between these two types of prefilters. Finally, some characterizations of n-fold implicative prefilters in bounded EQ-algebras are given. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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