Geodesic
Necessary conditions for power commuting in finite-dimensional algebras over a field
Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 38-44.

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

Necessary conditions for power commuting in a finite-dimensional algebra over a field are presented.
Keywords: public key distribution, non-associative groupoids, finite-dimensional algebras, power commuting property. 
@article{DM_2017_29_3_a2,
     author = {A. V. Zyazin and S. Yu. Katyshev},
     title = {Necessary conditions for power commuting in finite-dimensional algebras over a field},
     journal = {Diskretnaya Matematika},
     pages = {38--44},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2017_29_3_a2/}
}
TY  - JOUR
AU  - A. V. Zyazin
AU  - S. Yu. Katyshev
TI  - Necessary conditions for power commuting in finite-dimensional algebras over a field
JO  - Diskretnaya Matematika
PY  - 2017
SP  - 38
EP  - 44
VL  - 29
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2017_29_3_a2/
LA  - ru
ID  - DM_2017_29_3_a2
ER  - 
%0 Journal Article
%A A. V. Zyazin
%A S. Yu. Katyshev
%T Necessary conditions for power commuting in finite-dimensional algebras over a field
%J Diskretnaya Matematika
%D 2017
%P 38-44
%V 29
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2017_29_3_a2/
%G ru
%F DM_2017_29_3_a2
A. V. Zyazin; S. Yu. Katyshev. Necessary conditions for power commuting in finite-dimensional algebras over a field. Diskretnaya Matematika, Tome 29 (2017) no. 3, pp. 38-44. http://geodesic.mathdoc.fr/item/DM_2017_29_3_a2/

[1] Katyshev S.Yu., Markov V.T., Nechaev A.A., “Ispolzovanie neassotsiativnykh gruppoidov dlya realizatsii protsedury otkrytogo raspredeleniya klyuchei”, Diskret. matem., 26:3 (2014), 45–64 ; Katyshev S. Yu., Markov V. T., Nechaev A. A., “Application of non-associative groupoids to the realization of an open key distribution procedure”, Discrete Math. Appl., 25:1 (2015), 9–24 | DOI | MR | DOI | Zbl

[2] Katyshev S.Yu., “Diskretnoe logarifmirovanie v konechnomernoi algebre nad polem”, Prikl. diskret. matem., 26:4 (2014), 21–28

[3] Pirs R., Assotsiativnye algebry, Mir, M., 1986, 543 pp. ; Pierce R. S., Associative Algebras, Graduate Texts in Mathematics, 88, 1982 | MR | DOI | MR | Zbl

[4] Diffie W., Hellman M.E., “New directories in cryptography”, IEEE Trans. Inf. Theory, 22 (1976), 644–654 | DOI | MR | Zbl

[5] Kurakin V. L., Kuzmin A. S., Mikhalev A. V., Nechaev A. A., “Linear recurring sequences over rings and modules”, J. of Math. Sciences, 76:6 (1995), 2793–2915 | DOI | MR | Zbl

[6] Zierler N., Mills W.H., “Products of linear recurring sequences”, J. Algebra, 27 (1973), 147–157 | DOI | MR | Zbl

[7] Gantmacher F. R., The Theory of Matrices, v. 1 and 2, Chelsea Publishing Company, New York, 1959, vol. 1: x+374 pp. vol. 2: x+277 pp. | MR | MR