| Title:
|
Intervals in partial monounary algebras (English) |
| Author:
|
Jakubíková-Studenovská, Danica |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
268-275 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the notion of an interval in a partial monounary algebra is introduced and pairs $(A,f)$, $(A,g)$ of partial monounary algebras are investigated such that each interval in $(A,f)$ is also an interval in $(A,g)$, and conversely. (English) |
| Keyword:
|
convex set |
| Keyword:
|
intervals |
| Keyword:
|
monounary partial algebras |
| MSC:
|
08A55 |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 0752.08003 |
| idMR:
|
MR1126448 |
| DOI:
|
10.21136/MB.1991.126177 |
| . |
| Date available:
|
2009-09-24T20:45:41Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126177 |
| . |
| Reference:
|
[1] M. K. Bennett: Lаttices of convex sets.Tгаns. АМS 345 (1977), 279-288. MR 0463051 |
| Reference:
|
[2] M. K. Bennett: Sepаrаtion conditions of convexity lаttices.Lecture Notes Маth. 1985, No 1149, 22-36. MR 0823004, 10.1007/BFb0098453 |
| Reference:
|
[3] M. K. Bennett G. Birkhoff: Сonvexity lаttices.Аlg. Univ. 20 (1985), 1 - 26. MR 0790901 |
| Reference:
|
[4] G. Birkhoff M. K. Bennett: The convexity lаttice of а poset.Order 2 (1985), 223-242, MR 0824696 |
| Reference:
|
[5] D. Jakubíková-Studenovská: Сonvex subsets of pаrtiаl monounаry аlgebrаs.Сzech. Маth. J. 38 (113) 1988, 655-672. |
| Reference:
|
[6] D. Jakubíková-Studenovská: On the lаttice of convex subsets of а pаrtiаl monounаry аlgebrа.Сzech. Mаth. J. 39 (114) (1989), 502- 522. |
| Reference:
|
[7] M. Kolibiar: Intervаls, convex sublаttices аnd subdirect representаtions of lаttices.Universаl аlgebrа аnd аpplicаtions, Bаnаch Сenter Publicаtions, Vol. 9, Wаrszаw 1982, ЗЗ5-ЗЗ9. |
| Reference:
|
[8] V. Slavík: On lаttices with isomorphic intervаl lаttices.Сzech. Маth. J. 35 (110) 1985, 550-554. MR 0809041 |
| . |
