| Title:
|
Pseudocomplemented and Stone Posets (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
29-34 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that every pseudocomplemented poset can be equivalently expressed as a certain algebra where the operation of pseudocomplementation can be characterized by means of remaining two operations which are binary and nullary. Similar characterization is presented for Stone posets. (English) |
| Keyword:
|
pseudocomplement |
| Keyword:
|
pseudocomplemented poset |
| Keyword:
|
Stone poset |
| MSC:
|
06A06 |
| MSC:
|
06A11 |
| MSC:
|
06D15 |
| idZBL:
|
Zbl 06204918 |
| idMR:
|
MR3060006 |
| . |
| Date available:
|
2012-06-25T08:20:06Z |
| Last updated:
|
2014-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142871 |
| . |
| Reference:
|
[1] Balbes, R., Horn, A.: Stone lattices. Duke Math. J. 37 (1970), 537–545. Zbl 0207.02802, MR 0277448 |
| Reference:
|
[2] Frink, O.: Pseudo-complements in semi-lattices. Duke Math. J. 29 (1962), 505–514. Zbl 0114.01602, MR 0140449, 10.1215/S0012-7094-62-02951-4 |
| Reference:
|
[3] Nimbhokar, S. K., Rahemani, A.: A note on Stone join-semilattices. Central European Journal of Math. 9 (2011), 929–933. MR 2805325, 10.2478/s11533-011-0031-1 |
| Reference:
|
[4] Venkatanarasimhan, P. V.: Pseudo-complements in posets. Proc. Amer. Math. Soc. 28 (1971), 9–17. Zbl 0218.06002, MR 0272687, 10.1090/S0002-9939-1971-0272687-X |
| . |
