Bounded endomorphisms of free P-algebras
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 209-214

Voir la notice de l'article provenant de la source Cambridge University Press

The present note deals with bounded endomorphisms of free p-algebras (pseudocomplemented lattices). The idea of bounded homomorphisms was introduced by R. McKenzie in [8]. T. Katriňák [5] subsequently studied the properties of bounded homomorphisms for the varieties of p-algebras. This concept is also an efficient tool for the characterization of, so-called, splitting as well as projective algebras in the varieties of all lattices or p-algebras. For details the reader is referred to [2], [5], [6], [7] and other references therein. Let us emphasize that the main results that are contained in the above mentioned references strongly depend on the boundedness of each endomorphism of any finitely generated free algebra in a given variety.
Ševčovič, Daniel. Bounded endomorphisms of free P-algebras. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 209-214. doi: 10.1017/S0017089500008739
@article{10_1017_S0017089500008739,
     author = {\v{S}ev\v{c}ovi\v{c}, Daniel},
     title = {Bounded endomorphisms of free {P-algebras}},
     journal = {Glasgow mathematical journal},
     pages = {209--214},
     year = {1992},
     volume = {34},
     number = {2},
     doi = {10.1017/S0017089500008739},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008739/}
}
TY  - JOUR
AU  - Ševčovič, Daniel
TI  - Bounded endomorphisms of free P-algebras
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 209
EP  - 214
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008739/
DO  - 10.1017/S0017089500008739
ID  - 10_1017_S0017089500008739
ER  - 
%0 Journal Article
%A Ševčovič, Daniel
%T Bounded endomorphisms of free P-algebras
%J Glasgow mathematical journal
%D 1992
%P 209-214
%V 34
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008739/
%R 10.1017/S0017089500008739
%F 10_1017_S0017089500008739

[1] 1.Dean, R. A., Free lattices generated by partially ordered sets and preserving bounds, Canad. J. Math. 16 (1964), 136–148. Google Scholar | DOI

[2] 2.Freese, R. and Nation, J. B., Projective lattices, Pacific J. Math. 75 (1978), 93–106. Google Scholar | DOI

[3] 3.Grätzer, G., General lattice theory, Mathematische Reihe 52 (Birkhäuser, 1978.) Google Scholar | DOI

[4] 4.Katriňák, T., Free p-algebras, Algebra Universalis 15 (1982), 176–186. Google Scholar | DOI

[5] 5.Katriňák, T., Splitting p-algebras, Algebra Universalis 18 (1984), 199–224. Google Scholar | DOI

[6] 6.Katriňák, T. and Ševčovič, D., Projective p-algebras, Algebra Universalis 28 (1991), 280–300. Google Scholar | DOI

[7] 7.Kostinsky, A., Projective lattices and bounded homomorphisms, Pacific J. Math. 40 (1972), 111–119. Google Scholar | DOI

[8] 8.McKenzie, R., Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc. 174 (1972), 1–43. Google Scholar | DOI

Cité par Sources :