Geodesic
Freely adjoining a complement to a lattice
Mathematica slovaca, Tome 56 (2006) no. 1, pp. 93-104
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06B10, 06B25, 06C15 
@article{MASLO_2006_56_1_a7,
     author = {Gr\"atzer, G. and Lakser, Harry},
     title = {Freely adjoining a complement to a lattice},
     journal = {Mathematica slovaca},
     pages = {93--104},
     year = {2006},
     volume = {56},
     number = {1},
     mrnumber = {2217582},
     zbl = {1164.06308},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a7/}
}
TY  - JOUR
AU  - Grätzer, G.
AU  - Lakser, Harry
TI  - Freely adjoining a complement to a lattice
JO  - Mathematica slovaca
PY  - 2006
SP  - 93
EP  - 104
VL  - 56
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a7/
LA  - en
ID  - MASLO_2006_56_1_a7
ER  - 
%0 Journal Article
%A Grätzer, G.
%A Lakser, Harry
%T Freely adjoining a complement to a lattice
%J Mathematica slovaca
%D 2006
%P 93-104
%V 56
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a7/
%G en
%F MASLO_2006_56_1_a7
Grätzer, G.; Lakser, Harry. Freely adjoining a complement to a lattice. Mathematica slovaca, Tome 56 (2006) no. 1, pp. 93-104. http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a7/

[1] ADAMS M. E- SICHLER J.: Cover set lattices. Canad. J. Math. 32 (1980), 1177-1205. | MR

[2] ADAMS M. E.-SICHLER J.: Lattices with unique complementation. Pacific. J. Math. 92 (1981), 1-13. | MR | Zbl

[3] CHEN C. C.-GRÄTZER G.: On the construction of complemented lattices. J. Algebra 11 (1969), 56-63. | MR | Zbl

[4] CRAWLEY P.-DILWORTH R. P.: Algebraic Theory of Lattices. Prentice-Hall, Englewood Cliffs, NJ, 1973. | Zbl

[5] DEAN R. A.: Free lattices generated by partially ordered sets and preserving bounds. Canad. J. Math. 16 (1964), 136-148. | MR | Zbl

[6] DILWORTH R. P.: Lattices with unique complements. Trans. Amer. Math. Soc. 57 (1945), 123-154. | MR | Zbl

[7] GRÄTZER G.: General Lattice Theory. (2nd ed.), Birkhäuser Verlag, Basel, 1998 (Soft-cover edition Birkhauser Verlag, Basel-Boston-Berlin, 2003). | MR | Zbl

[8] GRÄTZER G.: A reduced free product of lattices. Fund. Math. 73 (1971/72), 21-27. | MR | Zbl

[9] GRÄTZER G.-LAKSER H.: Freely adjoining a relative complement to a lattice. Algebra Universalis 53 (2005), 189-210. | MR | Zbl

[10] GRÄTZER G.-LAKSER H.: Embedding lattices into m-transitively complemented lattices. (Manuscript).

[11] GRÄTZER G.-LAKSER H.-PLATT C. R.: Free products of lattices. Fund. Math. 69 (1970), 233-240. | MR | Zbl

[12] HUNTINGTON E. V.: Sets of independent postulates for the algebra of logic. Trans. Amer. Math. Soc. 79 (1904), 288-309. | MR

[13] LAKSER H.: Free lattices generated by partially ordered sets. Ph.D. Thesis, University of Manitoba, 1968. | MR

[14] SALII V. N.: Lattices with Unique Complements. Transl. Math. Monogr. 69, Amer. Math. Soc, Providence, RI. | MR | Zbl

[15] WHITMAN P. M.: Free lattices. I; II. Ann. of Math. (2) 42; 43 (1941; 1942), 325-330; 104-115. | MR