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Статья
2013

Left Bol three-webs with the IC-property


G. A. TolstikhinaG. A. Tolstikhina, A. M. ShelekhovA. M. Shelekhov
Русская математика
https://doi.org/10.3103/S1066369X13050034
Abstract / Full Text

We say that a left Bol three-web B has the IC-property if the coordinate quasigroup and the core of B are isotopic. We describe some properties of the submanifold V which establishes this isotopy.

Author information
  • Tver State University, ul. Zhelyabova 33, Tver, 170100, RussiaG. A. Tolstikhina & A. M. Shelekhov
References
  1. M. A. Akivis and A. M. Shelekhov, “Multidimensional Three-webs and Their Applications (Tver State University, Tver, 2010).
  2. G. A. Tolstikhina, “On Locally Symmetric Structure Related to a Generalized Left Bol Three-WebB l (p, q, q),” Geometry, Topology, and Their Applications, Proc. of Math. Inst. of the Ukrainian Nat. Acad. Sci. 6(2), 247–255 (2009).
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  5. G. A. Tolstikhina, “AGeneralized Left Bol Three-WebBl(ρ, r, r) as a Factor Web of a Left Bol Web B l (r, r, r),” Vestnik Tver Univ. Ser Prikl. Matem. 21(2), 117–134 (2011).
  6. G. A. Tolstikhina, “The Conditions for the CoordinateQuasigroup and the Core of a Left Bol Web to be Isotopic to Each Other,” Izv. Penzensk. Gos. Pedagog. Univ. Ser. Fiz.-Matem. i Tekhn. Nauki, No. 4 (26), 255–262 (2011).
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