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Shelekhov, Alexander M.

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Author ID: shelekhov.alexander-m Recent zbMATH articles by "Shelekhov, Alexander M."
Published as: Shelekhov, A.; Shelekhov, A. M; Shelekhov, A. M.; Shelekhov, Alexander; Shelekhov, Alexander M.
Documents Indexed: 129 Publications since 1969, including 23 Books
Reviewing Activity: 199 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

64 Publications have been cited 225 times in 80 Documents Cited by Year
Geometry and algebra of multidimensional three-webs. Translated from the Russian by Vladislav V. Goldberg. Zbl 0771.53001
Akivis, Maks A.; Shelekhov, Alexander M.
33
1992
Contravariant theory of multidimensional three-webs. Zbl 0792.53009
Akivis, M. A.; Shelekhov, A. M.
14
1993
The calculation of curvature and torsion tensor for a multidimensional 3- web and the associator of its local quasi-group. Zbl 0226.53005
Akivis, M. A.; Shelekhov, A. M.
14
1971
On local differentiable quasigrones and connections, related to a three- tissue of multidimensional surfaces. Zbl 0231.53021
Akivis, M. A.; Shelekhov, A. M.
9
1971
On three-webs with covariantly constant torsion and curvature tensors. Zbl 0928.53010
Shelekhov, A. M.; Pidzhakova, L. M.
8
1999
Curvilinear three-webs (differentially-topological theory). Zbl 1328.53018
Shelekhov, A. M.; Lazareva, V. B.; Utkin, A. A.
7
2013
Fundamentals of the theory of webs. Textbook. (Osnovy teorii tkanej. Uchebnoe posobie). Zbl 0475.53016
Akivis, M. A.; Shelekhov, A. M.
7
1981
On analytic solutions of the functional equation \((xy) x = x(yx)\). Zbl 0739.39012
Shelekhov, A. M.
5
1991
Classification of multidimensional three-webs according to closure conditions. Zbl 0705.53014
Shelekhov, A. M.
5
1989
Left Bol three-webs with the \(IC\)-property. Zbl 1272.53007
Tolstikhina, G. A.; Shelekhov, A. M.
4
2013
On triangulations of the plane by pencils of conics. Zbl 1144.53024
Lazareva, V. B.; Shelekhov, A. M.
4
2007
Bol transformation quasigroups. Zbl 1272.22003
Tolstikhina, G. A.; Shelekhov, A. M.
4
2005
Bol three-webs generated by foliations of different dimensions. Zbl 1115.53013
Tolstikhina, G. A.; Shelekhov, A. M.
4
2005
Multipoint invariants of transformation groups, and three-web defined by them. Zbl 1084.53015
Tolstikhina, G. A.; Shelekhov, A. M.
4
2003
Three-webs determined by transformation groups. Zbl 1146.22302
Tolstikhina, G. A.; Shelekhov, A. M.
4
2002
On general theory of elastic webs. Zbl 0844.53009
Balandina, G. A.; Shelekhov, A. M.
4
1995
Webs and quasigroups. Zbl 0748.00014
Shelekhov, A. M. (ed.)
4
1992
The g-structure associated with a multidimensional hexagonal 3-web, is closed. Zbl 0699.53025
Shelekhov, Alexander
4
1989
A classification of identities with one variable in a smooth local loop. Zbl 0617.20042
Billig, V. A.; Shelekhov, A. M.
4
1987
Canonical coordinates in a local analytic loop. Zbl 0616.22003
Akivis, M. A.; Shelekhov, A. M.
4
1986
Identities in loops with weak associativity. Zbl 0572.20054
Shelekhov, A. M.; Shestakova, M. A.
4
1985
Generalized associativity in smooth groupoids. Zbl 1179.53013
Tolstikhina, G. A.; Shelekhov, A. M.
3
2002
Three-webs determined by a linear differential equation. Zbl 1103.53301
Utkin, A. A.; Shelekhov, A. M.
3
2001
Three-webs formed by pencils of conics. Zbl 1007.53013
Lazareva, Valentina B.; Shelekhov, Alexander M.
3
2000
On local classification of curvilinear three-webs. Zbl 0928.53008
Utkin, A. A.; Shelekhov, A. M.
3
1999
The structure of Bol web \(E_1\). Zbl 0896.53017
Shelekhov, A. M.
3
1994
New closure conditions and some problems in loop theory. Zbl 0719.20037
Shelekhov, A. M.
3
1991
Alternators of a fourth order local analytic loop and three webs of multidimensional surfaces. Zbl 0701.53027
Akivis, M. A.; Shelekhov, A. M.
3
1989
Geometry of a smooth surface in the space \(N^ 3\). Zbl 0623.53005
Utkin, A. A.; Shelekhov, A. M.
3
1987
On the three-web associated to the core of a left Bol three-web. Zbl 1325.53027
Tolstikhina, G. A.; Shelekhov, A. M.
2
2014
Classification of regular three-webs formed by pencils of circles. Zbl 1207.53015
Shelekhov, A. M.
2
2007
Curvilinear three-webs admitting a one-parameter family of automorphisms. Zbl 1116.53014
Shelekhov, A. M.
2
2005
The three-web determined by affine transformation group. Zbl 1081.53506
Tolstikhina, Galina; Shelekhov, Alexander
2
2002
On a subclass of Bol loops. Zbl 0896.53016
Shelekhov, A. M.
2
1994
The isotopically invariant loop variety lying between Moufang loops variety and Bol loops variety. Zbl 0763.53018
Shelekhov, Alexander
2
1992
Classification of multidimensional three-webs by closure conditions. Zbl 0729.53019
Shelekhov, A. M.
2
1991
On the theory of G-webs and G-loops. Zbl 0745.53011
Shelekhov, A.
2
1991
Autotopies of three-webs and geometric G-webs. Zbl 0714.53017
Shelekhov, A. M.
2
1990
A classification of the identities of length 12 and order 4 with one variable in a local analytic loop. Zbl 0701.22002
Billig, V. A.; Shelekhov, A. M.
2
1990
On subwebs of 3-webs and subalgebras of local \(W_ k\)-algebras. Zbl 0674.53017
Akivis, M. A.; Shelekhov, A. M.
2
1988
Computation of the covariant derivatives of the curvature tensor of a multidimensional three-web. Zbl 0617.53028
Shelekhov, A. M.
2
1986
Identities with one variable in loops which are equivalent to monoassociativity. Zbl 0572.20055
Shelekhov, A. M.
2
1985
On the geometric interpretation of the invariant equipment of a point correspondence between three lines. Zbl 0578.53014
Lazareva, V. B.; Shelekhov, A. M.
2
1984
A geometric proof of universality of some identities in loops. Zbl 0558.53016
Shelekhov, A. M.; Shestakova, A. M.
2
1984
On three-webs with partially symmetric curvature tensor. Zbl 0471.53019
Shelekhov, A. M.
2
1981
On structure equations of a three-web defined by the core of a given left Bol three-web. Zbl 1333.53024
Tolstikhina, G. A.; Shelekhov, A. M.
1
2015
Multidimensional smooth loops with universal elasticity. Zbl 1328.53017
Dzhukashev, K. R.; Shelekhov, A. M.
1
2015
On triangulations of the plane by pencils of conics. II. Zbl 1276.53012
Lazareva, V. B.; Shelekhov, A. M.
1
2013
Eight-dimensional Bol webs with almost zero curvature tensor. Zbl 1266.53015
Antipova, M. V.; Shelekhov, A. M.
1
2013
To curvilinear three-web theory. Zbl 1283.53016
Lazareva, V. B.; Utkin, A. A.; Shelekhov, A. M.
1
2011
On the problem of classification of regular 4-webs formed by pencils of spheres. Zbl 1298.53017
Lazareva, V. B.; Shelekhov, A. M.
1
2007
On normal subwebs of multidimensional three-web and ideals of its tangent W-algebra. Zbl 0928.53009
Tolstikhina, G. A.; Shelekhov, A. M.
1
1999
Multidimensional three-webs whose coordinate loops are conjugacy closed. Zbl 0903.53010
Shelekhov, A. M.
1
1997
A good formula for the curvature tensor of a 3-web. Zbl 0792.53008
Shelekhov, A.
1
1993
Regular automorphisms of three-webs and kernels of loops. Zbl 0862.53015
Shelekhov, A. M.
1
1992
Computation of the second covariant derivatives of the curvature tensor of a multidimensional three-web. Zbl 0701.53026
Shelekhov, A. M.
1
1990
On the higher-order differential-geometric objects of a multidimensional three-web. Zbl 0711.53013
Shelekhov, A. M.
1
1989
On the problem of universality of the identity of geometricity. Zbl 0659.22003
Sabinin, L. V.; Shelekhov, A. M.
1
1988
On three-webs defined by a determinant surface. Zbl 0602.53011
Shelekhov, A. M.
1
1986
A characteristic property of Grassmann three-webs defined by a cubic symmetroid. Zbl 0558.53013
Shelekhov, A. M.
1
1984
Eight-dimensional cyclic three-webs. Zbl 0497.53024
Shelekhov, A. M.
1
1981
Some figures of closure on three-webs. Zbl 0497.53021
Shelekhov, A. M.; Demidova, L. A.
1
1981
Three-webs with partially symmetric curvature tensor. Zbl 0483.53014
Shelekhov, A. M.
1
1981
On local algebras of a cyclic three-web. Zbl 0525.53021
Shelekhov, A. M.
1
1980
On structure equations of a three-web defined by the core of a given left Bol three-web. Zbl 1333.53024
Tolstikhina, G. A.; Shelekhov, A. M.
1
2015
Multidimensional smooth loops with universal elasticity. Zbl 1328.53017
Dzhukashev, K. R.; Shelekhov, A. M.
1
2015
On the three-web associated to the core of a left Bol three-web. Zbl 1325.53027
Tolstikhina, G. A.; Shelekhov, A. M.
2
2014
Curvilinear three-webs (differentially-topological theory). Zbl 1328.53018
Shelekhov, A. M.; Lazareva, V. B.; Utkin, A. A.
7
2013
Left Bol three-webs with the \(IC\)-property. Zbl 1272.53007
Tolstikhina, G. A.; Shelekhov, A. M.
4
2013
On triangulations of the plane by pencils of conics. II. Zbl 1276.53012
Lazareva, V. B.; Shelekhov, A. M.
1
2013
Eight-dimensional Bol webs with almost zero curvature tensor. Zbl 1266.53015
Antipova, M. V.; Shelekhov, A. M.
1
2013
To curvilinear three-web theory. Zbl 1283.53016
Lazareva, V. B.; Utkin, A. A.; Shelekhov, A. M.
1
2011
On triangulations of the plane by pencils of conics. Zbl 1144.53024
Lazareva, V. B.; Shelekhov, A. M.
4
2007
Classification of regular three-webs formed by pencils of circles. Zbl 1207.53015
Shelekhov, A. M.
2
2007
On the problem of classification of regular 4-webs formed by pencils of spheres. Zbl 1298.53017
Lazareva, V. B.; Shelekhov, A. M.
1
2007
Bol transformation quasigroups. Zbl 1272.22003
Tolstikhina, G. A.; Shelekhov, A. M.
4
2005
Bol three-webs generated by foliations of different dimensions. Zbl 1115.53013
Tolstikhina, G. A.; Shelekhov, A. M.
4
2005
Curvilinear three-webs admitting a one-parameter family of automorphisms. Zbl 1116.53014
Shelekhov, A. M.
2
2005
Multipoint invariants of transformation groups, and three-web defined by them. Zbl 1084.53015
Tolstikhina, G. A.; Shelekhov, A. M.
4
2003
Three-webs determined by transformation groups. Zbl 1146.22302
Tolstikhina, G. A.; Shelekhov, A. M.
4
2002
Generalized associativity in smooth groupoids. Zbl 1179.53013
Tolstikhina, G. A.; Shelekhov, A. M.
3
2002
The three-web determined by affine transformation group. Zbl 1081.53506
Tolstikhina, Galina; Shelekhov, Alexander
2
2002
Three-webs determined by a linear differential equation. Zbl 1103.53301
Utkin, A. A.; Shelekhov, A. M.
3
2001
Three-webs formed by pencils of conics. Zbl 1007.53013
Lazareva, Valentina B.; Shelekhov, Alexander M.
3
2000
On three-webs with covariantly constant torsion and curvature tensors. Zbl 0928.53010
Shelekhov, A. M.; Pidzhakova, L. M.
8
1999
On local classification of curvilinear three-webs. Zbl 0928.53008
Utkin, A. A.; Shelekhov, A. M.
3
1999
On normal subwebs of multidimensional three-web and ideals of its tangent W-algebra. Zbl 0928.53009
Tolstikhina, G. A.; Shelekhov, A. M.
1
1999
Multidimensional three-webs whose coordinate loops are conjugacy closed. Zbl 0903.53010
Shelekhov, A. M.
1
1997
On general theory of elastic webs. Zbl 0844.53009
Balandina, G. A.; Shelekhov, A. M.
4
1995
The structure of Bol web \(E_1\). Zbl 0896.53017
Shelekhov, A. M.
3
1994
On a subclass of Bol loops. Zbl 0896.53016
Shelekhov, A. M.
2
1994
Contravariant theory of multidimensional three-webs. Zbl 0792.53009
Akivis, M. A.; Shelekhov, A. M.
14
1993
A good formula for the curvature tensor of a 3-web. Zbl 0792.53008
Shelekhov, A.
1
1993
Geometry and algebra of multidimensional three-webs. Translated from the Russian by Vladislav V. Goldberg. Zbl 0771.53001
Akivis, Maks A.; Shelekhov, Alexander M.
33
1992
Webs and quasigroups. Zbl 0748.00014
Shelekhov, A. M. (ed.)
4
1992
The isotopically invariant loop variety lying between Moufang loops variety and Bol loops variety. Zbl 0763.53018
Shelekhov, Alexander
2
1992
Regular automorphisms of three-webs and kernels of loops. Zbl 0862.53015
Shelekhov, A. M.
1
1992
On analytic solutions of the functional equation \((xy) x = x(yx)\). Zbl 0739.39012
Shelekhov, A. M.
5
1991
New closure conditions and some problems in loop theory. Zbl 0719.20037
Shelekhov, A. M.
3
1991
Classification of multidimensional three-webs by closure conditions. Zbl 0729.53019
Shelekhov, A. M.
2
1991
On the theory of G-webs and G-loops. Zbl 0745.53011
Shelekhov, A.
2
1991
Autotopies of three-webs and geometric G-webs. Zbl 0714.53017
Shelekhov, A. M.
2
1990
A classification of the identities of length 12 and order 4 with one variable in a local analytic loop. Zbl 0701.22002
Billig, V. A.; Shelekhov, A. M.
2
1990
Computation of the second covariant derivatives of the curvature tensor of a multidimensional three-web. Zbl 0701.53026
Shelekhov, A. M.
1
1990
Classification of multidimensional three-webs according to closure conditions. Zbl 0705.53014
Shelekhov, A. M.
5
1989
The g-structure associated with a multidimensional hexagonal 3-web, is closed. Zbl 0699.53025
Shelekhov, Alexander
4
1989
Alternators of a fourth order local analytic loop and three webs of multidimensional surfaces. Zbl 0701.53027
Akivis, M. A.; Shelekhov, A. M.
3
1989
On the higher-order differential-geometric objects of a multidimensional three-web. Zbl 0711.53013
Shelekhov, A. M.
1
1989
On subwebs of 3-webs and subalgebras of local \(W_ k\)-algebras. Zbl 0674.53017
Akivis, M. A.; Shelekhov, A. M.
2
1988
On the problem of universality of the identity of geometricity. Zbl 0659.22003
Sabinin, L. V.; Shelekhov, A. M.
1
1988
A classification of identities with one variable in a smooth local loop. Zbl 0617.20042
Billig, V. A.; Shelekhov, A. M.
4
1987
Geometry of a smooth surface in the space \(N^ 3\). Zbl 0623.53005
Utkin, A. A.; Shelekhov, A. M.
3
1987
Canonical coordinates in a local analytic loop. Zbl 0616.22003
Akivis, M. A.; Shelekhov, A. M.
4
1986
Computation of the covariant derivatives of the curvature tensor of a multidimensional three-web. Zbl 0617.53028
Shelekhov, A. M.
2
1986
On three-webs defined by a determinant surface. Zbl 0602.53011
Shelekhov, A. M.
1
1986
Identities in loops with weak associativity. Zbl 0572.20054
Shelekhov, A. M.; Shestakova, M. A.
4
1985
Identities with one variable in loops which are equivalent to monoassociativity. Zbl 0572.20055
Shelekhov, A. M.
2
1985
On the geometric interpretation of the invariant equipment of a point correspondence between three lines. Zbl 0578.53014
Lazareva, V. B.; Shelekhov, A. M.
2
1984
A geometric proof of universality of some identities in loops. Zbl 0558.53016
Shelekhov, A. M.; Shestakova, A. M.
2
1984
A characteristic property of Grassmann three-webs defined by a cubic symmetroid. Zbl 0558.53013
Shelekhov, A. M.
1
1984
Fundamentals of the theory of webs. Textbook. (Osnovy teorii tkanej. Uchebnoe posobie). Zbl 0475.53016
Akivis, M. A.; Shelekhov, A. M.
7
1981
On three-webs with partially symmetric curvature tensor. Zbl 0471.53019
Shelekhov, A. M.
2
1981
Eight-dimensional cyclic three-webs. Zbl 0497.53024
Shelekhov, A. M.
1
1981
Some figures of closure on three-webs. Zbl 0497.53021
Shelekhov, A. M.; Demidova, L. A.
1
1981
Three-webs with partially symmetric curvature tensor. Zbl 0483.53014
Shelekhov, A. M.
1
1981
On local algebras of a cyclic three-web. Zbl 0525.53021
Shelekhov, A. M.
1
1980
The calculation of curvature and torsion tensor for a multidimensional 3- web and the associator of its local quasi-group. Zbl 0226.53005
Akivis, M. A.; Shelekhov, A. M.
14
1971
On local differentiable quasigrones and connections, related to a three- tissue of multidimensional surfaces. Zbl 0231.53021
Akivis, M. A.; Shelekhov, A. M.
9
1971

Citations by Year