Some properties of left-transitive quasigroups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 85-94.

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Properties of left-transitive quasigroups (including their autotopisms and pseudoautomorphisms), their connections with some quasigroup classes are established. Left-transitive right GA-quasigroups are described.
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N. N. Didurik. Some properties of left-transitive quasigroups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 85-94. https://geodesic-test.mathdoc.fr/item/BASM_2018_2_a6/

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

[2] Belousov V. D., Elements of Quasigroup Theory, A Special Course, Kishinev State University Printing House, Kishinev, 1981 (in Russian) | MR

[3] Belousov V. D., Florja I. A., “Quasigroups with the inverse property”, Bul. Akad. Ştiinţe RSS Moldoven., 1966, no. 4, 3–17 (in Russian) | MR | Zbl

[4] Bruck R. H., A Survey of Binary Systems, third printing, corrected edition, Springer Verlag, New York, 1971 | MR

[5] Cardoso J. M., da Silva C. P., “On Ward quasigroups”, An. Stiint. Univ. “AI. I. Cuza” Iaşi Sect. Ia Mat. (N.S.), 24:2 (1978), 231–233 | MR | Zbl

[6] Chatterjea S. K., “On Ward quasigroups”, Pure Math. Manuscript, 6 (1987), 31–34 | MR | Zbl

[7] Florja I. A., “The relation of left-transitive quasigroups with Bol quasigroups”, Nets and quasigroups, Mat. Issled., 39, 1976, 203–215 (in Russian) | MR | Zbl

[8] Frobenius G., “Ueber Gruppencharaktere”, Sitzungsber. Preuss. Akad. Wiss., 1896 (1896), 985–1021 | Zbl

[9] Johnson K. W., Vojtechovsky P., “Right division in groups, Dedekind-Frobenius group matrices, and Ward quasigroups”, Abh. Math. Sem. Univ. Hamburg, 75 (2005), 121–136 | DOI | MR | Zbl

[10] Kargapolov M. I., Merzlyakov M. Yu., Foundations of Group Theory, Nauka, Moscow, 1977 (in Russian) | MR | Zbl

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

[12] Polonijo M., “A note on Ward quasigroups”, An. Stiint. Univ. “Al. I. Cuza” Iaşi Secţ. Ia Mat., 32:2 (1986), 5–10 | MR | Zbl

[13] Shcherbacov V. A., Elements of Quasigroup Theory and Applications, CRC Press, Boca Raton, 2017 | MR | Zbl

[14] Stein Sh. K., “On the foundations of quasigroups”, Trans. Amer. Math. Soc., 85:1 (1957), 228–256 | DOI | MR | Zbl

[15] Ward M., “Postulates for the inverse operations in a group”, Trans. Amer. Math. Soc., 32:3 (1930), 520–526 | DOI | MR | Zbl