| Title:
|
Relative co-annihilators in lattice equality algebras (English) |
| Author:
|
Niazian, Sogol |
| Author:
|
Aaly Kologani, Mona |
| Author:
|
Borzooei, Rajab Ali |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
149 |
| Issue:
|
4 |
| Year:
|
2024 |
| Pages:
|
585-602 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among $ \vee $-irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra $ \mathcal {\mathbb {E}} $ and $ \mathbb {F} $ a filter of $ \mathcal {\mathbb {E}} $, we define the set of all $ \mathbb {F} $-involutive filters of $ \mathcal {\mathbb {E}} $ and show that by defining some operations on it, it makes a BL-algebra. (English) |
| Keyword:
|
equality algebra |
| Keyword:
|
annihilator |
| Keyword:
|
co-annihilator |
| Keyword:
|
relative co-annihilator |
| Keyword:
|
filter |
| MSC:
|
03G10 |
| MSC:
|
06B75 |
| MSC:
|
06B99 |
| DOI:
|
10.21136/MB.2024.0120-23 |
| . |
| Date available:
|
2024-12-13T19:07:41Z |
| Last updated:
|
2024-12-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152681 |
| . |
| Reference:
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