Abstract
Necessary conditions for power commuting in a finite-dimensional algebra over a field are presented.
Originally published in Diskretnaya Matematika (2017) 29, No3, 38–44 (in Russian).
Communicated by Anatolij Dvurečenskij
References
[1] 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), 9–24.10.1515/dma-2015-0002Suche in Google Scholar
[2] Katyshev S. Yu., “Discrete logarithmic problem in finite dimensional algebras over field”, Prikl. discret. matem., 26:4 (2014), 21–27 (in Russian).10.17223/20710410/26/3Suche in Google Scholar
[3] Pierce R. S., Associative Algebras, 88, 1982.10.1007/978-1-4757-0163-0Suche in Google Scholar
[4] Diffie W., Hellman M.E., “New directions in cryptography”, IEEE Trans. Inf. Theory, 22 (1976), 644–654.10.1109/TIT.1976.1055638Suche in Google Scholar
[5] Kurakin V. L., Kuzmin A. S., Mikhalev A. V., Nechaev A. A., “Linear recurring sequences over rings and modules”, J. Math. Sciences, 76:6 (1995), 2793–2915.10.1007/BF02362772Suche in Google Scholar
[6] Zierler N., Mills W.H., “Products of linear recurring sequences”, J. Algebra, 27 (1973), 147–157.10.1016/0021-8693(73)90170-1Suche in Google Scholar
[7] Gantmacher F. R., The Theory of Matrices, Chelsea Publ. Co., N.-Y., 1959, vol. 1: x+374 pp. vol. 2: x+277 pp.Suche in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- A subcritical decomposable branching process in a mixed environment
- Limit theorems for bounded branching processes
- On coincidences of tuples in a q-ary tree with random labels of vertices
- A generalization of Shannon function
- Reduced critical Bellman–Harris branching processes for small populations
- Estimates of the mean size of the subset image under composition of random mappings
- Necessary conditions for power commuting in finite-dimensional algebras over a field
Artikel in diesem Heft
- Frontmatter
- A subcritical decomposable branching process in a mixed environment
- Limit theorems for bounded branching processes
- On coincidences of tuples in a q-ary tree with random labels of vertices
- A generalization of Shannon function
- Reduced critical Bellman–Harris branching processes for small populations
- Estimates of the mean size of the subset image under composition of random mappings
- Necessary conditions for power commuting in finite-dimensional algebras over a field