Intervals in partial monounary algebras

Danica Jakubíková-Studenovská

Mathematica Bohemica (1991)

  • Volume: 116, Issue: 3, page 268-275
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Jakubíková-Studenovská, Danica. "Intervals in partial monounary algebras." Mathematica Bohemica 116.3 (1991): 268-275. <http://eudml.org/doc/29331>.

@article{Jakubíková1991,
abstract = {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.},
author = {Jakubíková-Studenovská, Danica},
journal = {Mathematica Bohemica},
keywords = {convex set; intervals; monounary partial algebras; convex set; intervals; monounary partial algebras},
language = {eng},
number = {3},
pages = {268-275},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Intervals in partial monounary algebras},
url = {http://eudml.org/doc/29331},
volume = {116},
year = {1991},
}

TY - JOUR
AU - Jakubíková-Studenovská, Danica
TI - Intervals in partial monounary algebras
JO - Mathematica Bohemica
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 116
IS - 3
SP - 268
EP - 275
AB - 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.
LA - eng
KW - convex set; intervals; monounary partial algebras; convex set; intervals; monounary partial algebras
UR - http://eudml.org/doc/29331
ER -

References

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  1. M. K. Bennett, Lаttices of convex sets, Tгаns. АМS 345 (1977), 279-288. (1977) MR0463051
  2. M. K. Bennett, 10.1007/BFb0098453, Lecture Notes Маth. 1985, No 1149, 22-36. (1985) MR0823004DOI10.1007/BFb0098453
  3. M. K. Bennett G. Birkhoff, Сonvexity lаttices, Аlg. Univ. 20 (1985), 1 - 26. (1985) MR0790901
  4. G. Birkhoff M. K. Bennett, The convexity lаttice of а poset, Order 2 (1985), 223-242, (1985) MR0824696
  5. D. Jakubíková-Studenovská, Сonvex subsets of pаrtiаl monounаry аlgebrаs, Сzech. Маth. J. 38 (113) 1988, 655-672. (1988) 
  6. D. Jakubíková-Studenovská, On the lаttice of convex subsets of а pаrtiаl monounаry аlgebrа, Сzech. Mаth. J. 39 (114) (1989), 502- 522. (1989) 
  7. M. Kolibiar, Intervаls, convex sublаttices аnd subdirect representаtions of lаttices, Universаl аlgebrа аnd аpplicаtions, Bаnаch Сenter Publicаtions, Vol. 9, Wаrszаw 1982, ЗЗ5-ЗЗ9. (1982) 
  8. V. Slavík, On lаttices with isomorphic intervаl lаttices, Сzech. Маth. J. 35 (110) 1985, 550-554. (1985) MR0809041

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