On orders of elements in quasigroups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2004), pp. 49-54.

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We study the connection between the existence in a quasigroup of (m,n)-elements for some natural numbers m,n and properties of this quasigroup. The special attention is given for case of (m,n)-linear quasigroups and (m,n)-T-quasigroups.
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Victor Shcherbacov. On  orders of elements in quasigroups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2004), pp. 49-54. https://geodesic-test.mathdoc.fr/item/BASM_2004_2_a4/

[1] Belousov V. D., Foundations of the Theory of Quasigroups and Loops, Nauka, Moscow, 1967 (in Russian) | MR

[2] Belousov V. D., Elements of the Quasigroup Theory, A special course, Kishinev State University Press, Kishinev, 1981 (in Russian) | Zbl

[3] Belousov V. D., $n$-Ary Quasigroups, Shtiinta, Kishinev, 1972 (in Russian)

[4] Chein O., Pflugfelder H. O., Smith J. D. H., Quasigroups and Loops: Theory and Applications, Heldermann Verlag, Berlin, 1990

[5] Choban M. M., Kiriyak L. L., “The topological quasigroups with multiple identities”, Quasigroups and Related Systems, 9 (2002), 9–32

[6] Choban M. M., Kiriyak L. L., “The medial topological quasigroups with multiple identities”, Applied and Industrial Mathematics (Oradea, Romania and Chishinau, Moldova. August 17–25), Kishinev, 1995, 11

[7] Marshall Hall, Jr., The Theory of Groups, The Macmillan Company, New York, 1959

[8] Jevlakov K. A., Slin'ko A. M., Shestakov I. P., Shirshov A. I., Rings Close to Associative, Nauka, Moskov, 1978 (in Russian)

[9] Kepka T., Nemec P., “$T$-quasigroups, II”, Acta Universitatis Carolinae, Math. et Physica, 12:2 (1971), 31–49

[10] Nemec P., Kepka T., “$T$-quasigroups, I”, Acta Universitatis Carolinae, Math. et Physica, 12:1 (1971), 39–49

[11] Pflugfelder H. O., Quasigroups and Loops: Introduction, Heldermann Verlag, Berlin, 1990

[12] Shcherbacov V. A., “On linear quasigroups and their automorphism groups”, Mat. issled., 120, Ştiinţa, Kishinev, 1991, 104–113