@article{BASM_2023_2_a8,
author = {Parascovia Syrbu and Elena Cuzne\c{t}ov},
title = {On recursive 1-differentiability of the quasigroup prolongations},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {102--109},
year = {2023},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2023_2_a8/}
}
TY - JOUR AU - Parascovia Syrbu AU - Elena Cuzneţov TI - On recursive 1-differentiability of the quasigroup prolongations JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2023 SP - 102 EP - 109 IS - 2 UR - http://geodesic.mathdoc.fr/item/BASM_2023_2_a8/ LA - en ID - BASM_2023_2_a8 ER -
Parascovia Syrbu; Elena Cuzneţov. On recursive 1-differentiability of the quasigroup prolongations. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2023), pp. 102-109. http://geodesic.mathdoc.fr/item/BASM_2023_2_a8/
[1] R. H. Bruck, “Some results in the theory of quasigroups”, Trans. Amer. Math. Soc., 55 (1944), 19–52 | DOI | MR | Zbl
[2] V. Belousov, “Extensions of quasigroups”, Izv. Akad. Nauk Mold. SSR, Ser. Fiz. Tekh. Mat. Nauk, 1967, no. 8, 3–24 (in Russian) | MR | Zbl
[3] E. Couselo, S. Gonsales, V. Markov, A. Nechaev, “Recursive MDS codes and recursively dif ferentiable quasigroups”, Discrete Math. Appl., 8:3 (1998), 217–245 | DOI | MR | Zbl
[4] V. Markov, A. Nechaev, S. Skazhenik, E. Tveritinov, “Pseudogeometries with clusters and an example of a recursive $[4, 2, 3]_{42}$-code”, J. Math. Sci., 163:5 (2009), 563–571 | DOI | MR | Zbl
[5] P. Syrbu, E. Cuzneţov, “On recursively differentiable k quasigroups”, Bul. Acad. Sţiinţe Re pub. Mold., Mat., 2022, no. 2(99), 68–75 | MR
[6] V. Izbash, P. Syrbu, “Recursively differentiable quasigroups and complete recursive codes”, Commentat. Math. Univ. Carol., 45:2 (2004), 257–263 | MR | Zbl
[7] A. D. Keedwell, J. Denes, Latin Squares and their Applications, 2nd ed., Elsevier, Amsterdam, 2015, xiv+424 pp. | MR | Zbl