Abstract
We find the conditions under which left Bol three-webs have the same core. These conditions are applied to the finding of six-dimensional left Bol three-webs having the same cores as the webs obtained by the parastrophy transformation from the well known six-dimensional elastic webs E 1 and E 2.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Akivis, M. A. and Shelekhov, A. M. Multidimensional Three-Webs and Their Applications (Tver State University, Tver, 2010).
Belousov, V. D. “The Core of a Bol Loop,” in: Studies in General Algebra (Kishinev, 1965), pp. 53–65.
Tolstikhina, G. A. “The Generalized Left Bol Three-Web B l(ρ, r, r) as a Quotient-Web of the Left Bol Web B l(r, r, r),” Vestn. Tver Gos. Univ. Ser. Prikl. Matem. Vyp. 2, No. 21, 117–134 (2011).
Tolstikhina, G. A. and Shelekhov, A.M. “Left Bol Three-Webs with the IC-Property,” Russian Mathematics (Iz. VUZ) 57, No. 5, 20–28 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Mikheeva, G.A. Tolstikhina, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 10, pp. 43–53.
About this article
Cite this article
Mikheeva, A.A., Tolstikhina, G.A. Six-dimensional left Bol three-webs with common core. Russ Math. 58, 36–45 (2014). https://doi.org/10.3103/S1066369X14100065
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X14100065