Keywords: monounary algebra; connectedness; retract; retract irreducibility; representation
@article{CMJ_2005_55_4_a19,
author = {Jakub{\'\i}kov\'a-Studenovsk\'a, Danica},
title = {Representation of connected monounary algebras by means of irreducibles},
journal = {Czechoslovak Mathematical Journal},
pages = {1067--1078},
year = {2005},
volume = {55},
number = {4},
mrnumber = {2184384},
zbl = {1081.08010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a19/}
}
Jakubíková-Studenovská, Danica. Representation of connected monounary algebras by means of irreducibles. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 1067-1078. http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a19/
[1] D. Duffus, I. Rival: A structure theory for ordered sets. Discrete Math. 35 (1981), 53–118. | DOI | MR
[2] W. Imrich, S. Klavžar: Retracts of strong products of graphs. Discrete Math. 109 (1992), 147–154. | DOI | MR
[3] D. Jakubíková-Studenovská: Systems of unary algebras with common endomorphisms I. Czechoslovak Math. J. 29 (1979), 406–420. | MR
[4] D. Jakubíková-Studenovská: Retract irreducibility of connected monounary algebras I. Czechoslovak Math. J. 46(121) (1996), 291–308. | MR
[5] D. Jakubíková-Studenovská: Retract irreducibility of connected monounary algebras II. Czechoslovak Math. J. 47(122) (1997), 113–126. | DOI | MR
[6] D. Jakubíková-Studenovská: Two types of retract irreducibility of connected monounary algebras. Math. Bohemica 121 (1996), 143–150. | MR
[7] D. Jakubíková-Studenovská: Antiatomic retract varieties of monounary algebras. Czechoslovak Math. J. 48(123) (1998), 793–808. | DOI | MR
[8] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras with a cycle. Czechoslovak Math. J. 50(125) (2000), 681–698. | DOI | MR
[9] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras. Czechoslovak Math. J. 50(125) (2000), 705-720. | DOI | MR
[10] D. Jakubíková-Studenovská: On a representation of monounary algebras. Czechoslovak Math. J (to appear). | MR
[11] S. Klavžar: Two remarks on retracts of graph products. Discrete Math. 109 (1992), 155–160. | DOI | MR
[12] T. Kuczmanov, S. Reich, M. Schmidt, and A. Stachura: The product retraction property for the $c_0$-product of countable many metric spaces. Math. Japonica 39 (1994), 73–79. | MR
[13] M. Novotný: Über Abbildungen von Mengen. Pacif. J. Math. 13 (1963), 1359–1369. | MR
[14] M. Novotný: Construction of all homomorphisms of unary algebras. Proceedings of the Seminar on New Directions in Mathematical Education, Brno, 1973, Dept. Math. Ped. Fac. Univ. J. E. Purkyně, Brno, 1973. (Czech)