Geodesic
The semiring of 1-preserving endomorphisms of a semilattice
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 999-1003.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove that the semirings of 1-preserving and of 0,1-preserving endomorphisms of a semilattice are always subdirectly irreducible and we investigate under which conditions they are simple. Subsemirings are also investigated in a similar way.
Classification : 06A12, 16Y60
Keywords: semilattice; semiring; subdirectly irreducible; simple 
@article{CMJ_2009__59_4_a9,
     author = {Je\v{z}ek, Jaroslav and Kepka, Tom\'a\v{s}},
     title = {The semiring of 1-preserving endomorphisms of a semilattice},
     journal = {Czechoslovak Mathematical Journal},
     pages = {999--1003},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {2009},
     mrnumber = {2563572},
     zbl = {1224.06007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a9/}
}
TY  - JOUR
AU  - Ježek, Jaroslav
AU  - Kepka, Tomáš
TI  - The semiring of 1-preserving endomorphisms of a semilattice
JO  - Czechoslovak Mathematical Journal
PY  - 2009
SP  - 999
EP  - 1003
VL  - 59
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a9/
LA  - en
ID  - CMJ_2009__59_4_a9
ER  - 
%0 Journal Article
%A Ježek, Jaroslav
%A Kepka, Tomáš
%T The semiring of 1-preserving endomorphisms of a semilattice
%J Czechoslovak Mathematical Journal
%D 2009
%P 999-1003
%V 59
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a9/
%G en
%F CMJ_2009__59_4_a9
Ježek, Jaroslav; Kepka, Tomáš. The semiring of 1-preserving endomorphisms of a semilattice. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 999-1003. http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a9/