| Title:
|
New kinds of hybrid filters of EQ-algebras (English) |
| Author:
|
Paad, Akbar |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
149 |
| Issue:
|
1 |
| Year:
|
2024 |
| Pages:
|
105-127 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main goal of this paper is to introduce hybrid positive implicative and hybrid implicative (pre)filters of EQ-algebras. In the following, some characterizations of this hybrid (pre)filters are investigated and it is proved that the quotient algebras induced by hybrid positive implicative filters in residuated EQ-algebras are idempotent and residuated EQ-algebra. Moreover, the relationship between hybrid implicative prefilters and hybrid positive implicative prefilters are discussed and it is shown that these concepts coincide in good involutive EQ-algebras. Finally, it is proved that the quotient EQ-algebra respect to a hybrid positive implicative filter is involutive if and only if the hybrid filter is hybrid implicative filter. (English) |
| Keyword:
|
EQ-algebra |
| Keyword:
|
hybrid positive implicative (pre)filter |
| Keyword:
|
hybrid implicative (pre)filter |
| MSC:
|
03B50 |
| MSC:
|
03E72 |
| MSC:
|
03G25 |
| MSC:
|
08A72 |
| DOI:
|
10.21136/MB.2023.0049-22 |
| . |
| Date available:
|
2024-03-13T10:21:47Z |
| Last updated:
|
2024-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152296 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
