Geodesic
Complete semigroups of binary relations defined by $X$-semilattices of unions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 73-99

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

This paper is devoted to some results from the book “Complete Semigroups of Binary Relations”, which is not published yet. Conditions of divisibility of binary relations, idempotents, regular elements, one-side units, and one-side zeros are described. Finite $X$-semilattices and unions are characterized. Methods of finding formulas for counting the number of idempotents and regular elements are given. 
@article{FPM_2008_14_8_a3,
     author = {Ya. Diasamidze and Sh. Makharadze},
     title = {Complete semigroups of binary relations defined by $X$-semilattices of unions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {73--99},
     publisher = {mathdoc},
     volume = {14},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a3/}
}
TY  - JOUR
AU  - Ya. Diasamidze
AU  - Sh. Makharadze
TI  - Complete semigroups of binary relations defined by $X$-semilattices of unions
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2008
SP  - 73
EP  - 99
VL  - 14
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a3/
LA  - ru
ID  - FPM_2008_14_8_a3
ER  - 
%0 Journal Article
%A Ya. Diasamidze
%A Sh. Makharadze
%T Complete semigroups of binary relations defined by $X$-semilattices of unions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2008
%P 73-99
%V 14
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a3/
%G ru
%F FPM_2008_14_8_a3
Ya. Diasamidze; Sh. Makharadze. Complete semigroups of binary relations defined by $X$-semilattices of unions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 73-99. http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a3/