Diskretnaya Matematika, Tome 9 (1997) no. 4, pp. 63-72
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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/
@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},
year = {1997},
volume = {9},
number = {4},
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
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
%U http://geodesic.mathdoc.fr/item/DM_1997_9_4_a5/
%G ru
%F DM_1997_9_4_a5
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.
