On isotopies of some classes of Moufang loops
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 70-77.

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In this note we discuss questions concerning loop isotopes of automorphic Moufang loops and related questions.
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A. Grishkov; M. Rasskazova; L. Sabinina. On isotopies of some classes of Moufang loops. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2016), pp. 70-77. http://geodesic.mathdoc.fr/item/BASM_2016_1_a5/

[1] Belousov V. D., “The structure of distributive quasigroups”, Mat. Sb., 50(92):3 (1960), 267–298 | MR | Zbl

[2] Belousov V. D., Foundations of the theory of quasigroups and loops, Nauka, Moscow, 1967 (in Russian) | MR

[3] Belousov V. D., Elements of Quasigroups Theory: A Special Course, Kishinev State University Press, Kishinev, 1981 (in Russian)

[4] Bruck R. H., A Survey of Binary Systems, Springer-Verlag, 1966 | MR | Zbl

[5] Bruck R. H., Paige L. J., “Loops whose inner mappings are automorphisms”, Ann. of Math. (2), 63 (1956), 308–323 | DOI | MR | Zbl

[6] Kepka T., Kinyon M., Phillips J. D., “The structure of $F$-quasigroups”, J. Algebra, 317:2 (2007), 435–461 | DOI | MR | Zbl

[7] Kinyon M., Kunen K., Phillips J. D., “Every diassociative $A$-loop is Moufang”, Proc. Amer. Math. Soc., 130:3 (2002), 619–624 | DOI | MR | Zbl

[8] Nagy G. P., “Burnside problems for Moufang and Bol loops of small exponent”, Acta Sci. Math. (Szeged), 67 (2001), 687–696 | MR | Zbl

[9] Gagola S. M., “Nonsplitting $F$-quasigroups”, Comment. Math. Univ. Carolin., 53:3 (2012), 375–381 | MR | Zbl

[10] Gagola S. M., “When are inner mapping groups generated by conjugation maps?”, Arch. Math. (Basel), 101:3 (2013), 207–212 | DOI | MR | Zbl

[11] Gagola S. M., “A Moufang's loop commutant”, Proc. Cambridge Phil. Soc., 152:2 (2012), 193–206 | DOI | MR | Zbl

[12] Grishkov A., Merlini Giuliani M. L., Rasskazova M., Sabinina L., “Half-isomorphisms of finite automorphic Moufang loops”, Comm. Algebra, 44:10 (2016), 4252–4261 | DOI | MR | Zbl

[13] Grishkov A., Plaumann P., Sabinina L., “Structure of free automorphic Moufang loops”, Proc. Amer. Math. Soc., 140:7 (2012), 2209–2214 | DOI | MR | Zbl

[14] Grishkov A., Rasskazova M., Sabinina L., “On the structure of automorphic Moufang loops”, Publ. Math. Debrecen, 88:3–4 (2016), 261–267 | DOI | MR

[15] Orlik-Pflugfelder H., “A special class of Moufang loops”, Proc. Amer. Math. Soc., 26 (1970), 583–586 | DOI | MR | Zbl

[16] Pflugfelder H., Quasigroups and Loops: Introduction, Sigma Series in Pure Mathematics, 7, Heldermann, Berlin, 1990 | MR | Zbl

[17] Plaumann P., Sabinina L., “On nuclearly nilpotent loops of finite exponent”, Comm. Algebra, 36:4 (2008), 1346–1353 | DOI | MR | Zbl

[18] Plaumann P., Sabinina L., Sbitneva L., “A decomposition of LF-quasigroups”, Algebras, representations and applications, Contemp. Math., 483, Amer. Math. Soc., Providence, RI, 2009, 221–227 | DOI | MR | Zbl

[19] Plaumann P., Sabinina L., Sbitneva L., “Some Varieties of Quasigroups, Loops and their Parastrophes”, Communications in Mathematics and Applications, 3:1 (2012), 75–85

[20] Sabinina L., “On smooth left square distributive quasigroup”, Lecture Notes in Pure and Appl. Math., 211, Dekker, New York, 2000, 345–348 | MR | Zbl

[21] Sabinin L. V., Sabinina L., “On the theory of left $F$-quasigroups”, Algebras Groups Geom., 12:2 (1995), 127–137 | MR | Zbl

[22] Sabinina L., “Trans-symmetric spaces”, Adv. Appl. Clifford Algebras, 4, Suppl. 1 (1994), 509–514 | MR

[23] Shcherbacov V. A., “On the structure of left and right $F$-, $SM$-, and $E$-quasigroups”, J. Gen. Lie Theory Appl., 3:3 (2009), 197–259 | DOI | MR | Zbl