Geodesic
STRICT REFINEMENT FOR DIRECT SUMS AND GRAPHS
Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1 
A. A. Iskander. STRICT REFINEMENT FOR DIRECT SUMS AND GRAPHS. Acta mathematica Universitatis Comenianae, Tome 68 (1999) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a8/
@article{AMUC_1999_68_1_a8,
     author = {A. A. Iskander},
     title = {STRICT {REFINEMENT} {FOR} {DIRECT} {SUMS} {AND} {GRAPHS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1999},
     volume = {68},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a8/}
}
TY  - JOUR
AU  - A. A. Iskander
TI  - STRICT REFINEMENT FOR DIRECT SUMS AND GRAPHS
JO  - Acta mathematica Universitatis Comenianae
PY  - 1999
VL  - 68
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a8/
ID  - AMUC_1999_68_1_a8
ER  - 
%0 Journal Article
%A A. A. Iskander
%T STRICT REFINEMENT FOR DIRECT SUMS AND GRAPHS
%J Acta mathematica Universitatis Comenianae
%D 1999
%V 68
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_1999_68_1_a8/
%F AMUC_1999_68_1_a8

Voir la notice de l'article provenant de la source Comenius University

We study direct sums of structures with a one element subuniverse. We give a characterization of direct sums reminescent to that of inner products of groups. The strict refinement property is adapted to direct sums and to restricted Cartesian products of graphs. If a structure has the strict refinement property (for direct products), it has the strict refinement property for direct sums. Connected graphs satisfy the strict refinement property for their restricted Cartesian products.