On affine completeness of distributive p-algebras
Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 365-368

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

G. Grätzer in [4] proved that any Boolean algebra B is affine complete, i.e. for every n ≥ 1, every function f:Bn→B preserving the congruences of B is algebraic. Various generalizations of this result have been obtained (see [7]–[ll] and [2], [3]).
Haviar, Miroslav. On affine completeness of distributive p-algebras. Glasgow mathematical journal, Tome 34 (1992) no. 3, pp. 365-368. doi: 10.1017/S001708950000896X
@article{10_1017_S001708950000896X,
     author = {Haviar, Miroslav},
     title = {On affine completeness of distributive p-algebras},
     journal = {Glasgow mathematical journal},
     pages = {365--368},
     year = {1992},
     volume = {34},
     number = {3},
     doi = {10.1017/S001708950000896X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950000896X/}
}
TY  - JOUR
AU  - Haviar, Miroslav
TI  - On affine completeness of distributive p-algebras
JO  - Glasgow mathematical journal
PY  - 1992
SP  - 365
EP  - 368
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950000896X/
DO  - 10.1017/S001708950000896X
ID  - 10_1017_S001708950000896X
ER  - 
%0 Journal Article
%A Haviar, Miroslav
%T On affine completeness of distributive p-algebras
%J Glasgow mathematical journal
%D 1992
%P 365-368
%V 34
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950000896X/
%R 10.1017/S001708950000896X
%F 10_1017_S001708950000896X

[1] 1.Balbes, R. and Dwinger, P., Distributive lattices (Univ. Missouri Press, Columbia, Miss., 1974). Google Scholar

[2] 2.Beazer, R., Affine complete Stone algebras, Acta. Math. Acad. Sci. Hungar. 39 (1982), 169–174. Google Scholar | DOI

[3] 3.Beazer, R., Affine complete double Stone algebras with bounded core, Algebra Universalis 16 (1983), 237–244. Google Scholar | DOI

[4] 4.Grätzer, G., On Boolean functions (notes on Lattice theory II), Revue de Math. Pures et Appliquées 7 (1962), 693–697. Google Scholar

[5] 5.Grätzer, G., Boolean functions on distributive lattices, Ada Math. Acad. Sci. Hungar. 15 (1964), 195–201. Google Scholar | DOI

[6] 6.Grätzer, G., Lattice theory. First concepts and distributive lattices (W. H. Freeman, San Francisco, 1971). Google Scholar

[7] 7.Hu, T.-K., Characterizations of algebraic functions in equational classes generated by independent primal algebras, Albegra Universalis 1 (1971), 187–191. Google Scholar | DOI

[8] 8.Iskander, A. A., Algebraic functions on p-rings, Colloq. Math. 25 (1972), 37–42. Google Scholar | DOI

[9] 9.Keimel, K. and Werner, H., Stone duality for varieties generated by quasi-primal algebras. Recent advances in the representation theory of rings and C*-algebras by continuous sections, (Sem. Tulane Univ. New Orleans La. 1973), Mem. Amer. Math. Soc. 148 (1974), 59–85. Google Scholar

[10] 10.Knoebel, R. A., Congruence-preserving functions in quasiprimal varieties, Algebra Universalis 4 (1974), 287–288. Google Scholar | DOI

[11] 11.Pixley, A. F., Completeness in arithmetical algebras, Algebra Universalis 2 (1972), 179–196. Google Scholar | DOI

[12] 12.Werner, H., Produkte von Kongruenzklassengeometrien universeller Algebren, Math. Z. 121 (1971), 111–140. Google Scholar | DOI

Cité par Sources :