Geodesic
The action of the automorphism group of a finite graded partially ordered set on levels
Diskretnaya Matematika, Tome 9 (1997) no. 4, pp. 63-72

Voir la notice de l'article provenant de la source Math-Net.Ru

The inequalities between the numbers of orbits of action of the automorphism group of a finite graded partially ordered set on the levels are obtained. The proofs are based on the notion of $\Delta$-reduced algebras of binary functions introduced in the paper. These algebras are analogies of the $\Delta$-reduced incidence algebras of finite partially ordered sets. 
@article{DM_1997_9_4_a5,
     author = {E. E. Marenich},
     title = {The action of the automorphism group of a finite graded partially ordered set on levels},
     journal = {Diskretnaya Matematika},
     pages = {63--72},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_4_a5/}
}
TY  - JOUR
AU  - E. E. Marenich
TI  - The action of the automorphism group of a finite graded partially ordered set on levels
JO  - Diskretnaya Matematika
PY  - 1997
SP  - 63
EP  - 72
VL  - 9
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_1997_9_4_a5/
LA  - ru
ID  - DM_1997_9_4_a5
ER  - 
%0 Journal Article
%A E. E. Marenich
%T The action of the automorphism group of a finite graded partially ordered set on levels
%J Diskretnaya Matematika
%D 1997
%P 63-72
%V 9
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_1997_9_4_a5/
%G ru
%F DM_1997_9_4_a5
E. E. Marenich. The action of the automorphism group of a finite graded partially ordered set on levels. Diskretnaya Matematika, Tome 9 (1997) no. 4, pp. 63-72. http://geodesic.mathdoc.fr/item/DM_1997_9_4_a5/