4 citations · 9 across the 18 of their papers we have counts for
23 papers
On linear equations over split-octonions
Artem Lopatin, Alexandr N. Zubkov
Over an algebraically closed field, we describe the affine varieties of solutions to the linear equations and over the split-octonions. We also determine the di…
Linkage for periplectic supergroups in positive characteristic
Frantisek Marko, Alexandr N. Zubkov
We consider the periplectic supergroup over a ground field of characteristic . We show that there are four blocks of of simple supermodules…
Automorphism group functors of algebraic superschemes
Alexandr N. Zubkov
The famous theorem of Matsumura-Oort states that if is a proper scheme, then the automorphism group functor of is a locally algebraic group scheme. In t…
Separating G_2-invariants of several octonions
Artem Lopatin, Alexandr N. Zubkov
We describe separating G_2-invariants of several copies of the algebra of octonions over an algebraically closed field of characteristic two. We also obtain a minimal separating an…
Classification of G_2-orbits for pairs of octonions
Artem Lopatin, Alexandr N. Zubkov
Over an algebraically closed field, we described a minimal set of representatives for G_2-orbits on the set of pairs of octonions.
On dimension theory of supermodules, super-rings and superschemes
A. N. Zubkov, P. S. Kolesnikov
We introduce the notion of Krull super-dimension of supermodules over certain super-commutative Noetherian super-rings. We investigate how this notion relates to the notion of odd…