| Title:
|
$\alpha$-filters and $\alpha$-order-ideals in distributive quasicomplemented semilattices (English) |
| Author:
|
Calomino, Ismael |
| Author:
|
Celani, Sergio |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
62 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
15-32 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce some particular classes of filters and order-ideals in distributive semilattices, called $\alpha$-filters and $\alpha$-order-ideals, respectively. In particular, we study $\alpha$-filters and $\alpha$-order-ideals in distributive quasicomplemented semilattices. We also characterize the filters-congruence-cokernels in distributive quasicomplemented semilattices through $\alpha$-order-ideals. (English) |
| Keyword:
|
bounded distributive semilattice |
| Keyword:
|
quasicomplement |
| Keyword:
|
relative annihilator |
| Keyword:
|
order-ideal |
| Keyword:
|
filter |
| MSC:
|
03G10 |
| MSC:
|
06A12 |
| idMR:
|
MR4270464 |
| DOI:
|
10.14712/1213-7243.2021.004 |
| . |
| Date available:
|
2021-07-26T11:08:27Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148940 |
| . |
| Reference:
|
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| Reference:
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