Geodesic
Free $n$-dinilpotent dimonoids
Problemy fiziki, matematiki i tehniki, no. 4 (2013), pp. 43-46 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We construct a free $n$-dinilpotent dimonoid and characterize the least $n$-dinilpotent congruence on a free dimonoid.
Keywords: $n$-dinilpotent dimonoid, free $n$-dinilpotent dimonoid, dimonoid, semigroup, congruence. 
@article{PFMT_2013_4_a6,
     author = {Anatolii V. Zhuchok},
     title = {Free $n$-dinilpotent dimonoids},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {43--46},
     year = {2013},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2013_4_a6/}
}
TY  - JOUR
AU  - Anatolii V. Zhuchok
TI  - Free $n$-dinilpotent dimonoids
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2013
SP  - 43
EP  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/PFMT_2013_4_a6/
LA  - ru
ID  - PFMT_2013_4_a6
ER  - 
%0 Journal Article
%A Anatolii V. Zhuchok
%T Free $n$-dinilpotent dimonoids
%J Problemy fiziki, matematiki i tehniki
%D 2013
%P 43-46
%N 4
%U http://geodesic.mathdoc.fr/item/PFMT_2013_4_a6/
%G ru
%F PFMT_2013_4_a6
Anatolii V. Zhuchok. Free $n$-dinilpotent dimonoids. Problemy fiziki, matematiki i tehniki, no. 4 (2013), pp. 43-46. http://geodesic.mathdoc.fr/item/PFMT_2013_4_a6/

[1] A. V. Zhuchok, “Free commutative dimonoids”, Algebra and Discrete Math., 9:1 (2010), 109–119 | MR

[2] A. V. Zhuchok, “Free rectangular dibands and free dimonoids”, Algebra and Discrete Math., 11:2 (2011), 92–111 | MR | Zbl

[3] A. V. Zhuchok, “Free normal dibands”, Algebra and Discrete Math., 12:2 (2011), 112–127 | MR | Zbl

[4] A. V. Zhuchok, “Free $(lr,rr)$-dibands”, Algebra and Discrete Math., 15:2 (2013), 295–304

[5] J.-L. Loday, “Dialgebras”, Dialgebras and related operads, Lect. Notes Math., 1763, Springer-Verlag, Berlin, 2001, 7–66 | DOI | MR | Zbl

[6] A. V. Zhuchok, “Free dimonoids”, Ukr. Math. J., 63:2 (2011), 196–208 | DOI | MR | Zbl