Finite Unions of Quasi-Independent Sets
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 490-493
Voir la notice de l'article provenant de la source Cambridge University Press
The analogue of Horn's theorem characterizing finite unions of linearly independent sets in a vector space is shown to fail in the group of integers.
Grow, David; Whicher, William C. Finite Unions of Quasi-Independent Sets. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 490-493. doi: 10.4153/CMB-1984-078-0
@article{10_4153_CMB_1984_078_0,
author = {Grow, David and Whicher, William C.},
title = {Finite {Unions} of {Quasi-Independent} {Sets}},
journal = {Canadian mathematical bulletin},
pages = {490--493},
year = {1984},
volume = {27},
number = {4},
doi = {10.4153/CMB-1984-078-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-078-0/}
}
TY - JOUR AU - Grow, David AU - Whicher, William C. TI - Finite Unions of Quasi-Independent Sets JO - Canadian mathematical bulletin PY - 1984 SP - 490 EP - 493 VL - 27 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-078-0/ DO - 10.4153/CMB-1984-078-0 ID - 10_4153_CMB_1984_078_0 ER -
[1] 1. Horn, A., A characterization of unions of linearly independent sets, J. London Math. Soc. 30 (1955), 494-496. Google Scholar | DOI
[2] 2. Pisier, G., Arithmetic characterizations of Sidon sets, Bull. Amer. Math. Soc. 8 (1983), 87-89. Google Scholar | DOI
[3] 3. Rado, R., Axiomatic treatment of rank in infinite sets, Canadian J. of Math. 1 (1949), 337-343. Google Scholar | DOI
Cité par Sources :