Zobrazeno 1 - 10
of 183
pro vyhledávání: '"Bovdi, V."'
Autor:
Bovdi, V., Leites, D.
We distinguish two classifications of bidifferential operators: between (A) spaces of modular forms and (B) spaces of weighted densities. (A) The invariant under the projective action of $\text{SL}(2;\mathbb{Z})$ binary differential operators between
Externí odkaz:
http://arxiv.org/abs/2404.18222
Autor:
Bardakov, V. G., Bovdi, V. A.
In the present article we define and investigate relative Rota--Baxter operators and relative averaging operators on racks and rack algebras. Also, if B is a Rota--Baxter or averaging operator on a rack X, then we can extend B by linearity to the rac
Externí odkaz:
http://arxiv.org/abs/2402.11660
Autor:
Bovdi, V., Shchedryk, V.
The notion of the adequacy of commutative domains was introduced by Helmer in Bull. Amer.Math. Soc., 49 (1943), 225--236. In the present paper we extend the concept of adequacy to noncommutative B\'ezout rings. We show that the set of nonsingular sec
Externí odkaz:
http://arxiv.org/abs/2209.01408
Autor:
Bovdi, V. A., Zubkov, A. N.
Working over an algebraically closed field $\Bbbk$, we prove that all orbits of a left action of an algebraic group superscheme $G$ on a superscheme $X$ of finite type are locally closed. Moreover, such an orbit $Gx$, where $x$ is a $\Bbbk$-point of
Externí odkaz:
http://arxiv.org/abs/2202.09384
Autor:
Bovdi, V. A., Shchedryk, V. P.
We continue our previous investigation of the Zelisko group of a matrix over B\'ezout domains. The explicit form of elements of this group over homomorphic image of B\'ezout domain of stable rank 1.5 is described.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/2201.02817
Autor:
Bovdi, V. A., Shchedryk, V. P.
Solutions of a linear equation b=ax in a homomorphic image of a commutative Bezout domain of stable range 1.5 is developed. It is proved that the set of solutions of a solvable linear equation contains at least one solution that divides the rest, whi
Externí odkaz:
http://arxiv.org/abs/2104.11439
Autor:
Bovdi, V. A., Kurdachenko, L. A.
For modules over group rings we introduce the following numerical parameter. We say that a module A over a ring R has finite r-generator property if each f.g. (finitely generated) R-submodule of A can be generated exactly by r elements and there exis
Externí odkaz:
http://arxiv.org/abs/2104.04185
Autor:
Bovdi, V. A., Kurdachenko, L. A.
A commutative ring R has finite rank r, if each ideal of R is generated at most by r elements. A commutative ring R has the r-generator property, if each finitely generated ideal of R can be generated by r elements. Such rings are closely related to
Externí odkaz:
http://arxiv.org/abs/2103.14825
Let FL_s(K) be the finitary linear group of degree s over an associative ring K with unity. We prove that the torsion subgroups of FL_s(K) are locally finite for certain classes of rings K. A description of some f.g. solvable subgroups of FL_s(K) are
Externí odkaz:
http://arxiv.org/abs/2004.12354
Autor:
Bovdi, V. A., Zubkov, A. N.
We introduce the notion of a super-representation of a quiver. For super-representations of quivers over a field of characteristic zero, we describe the corresponding (super)algebras of polynomial semi-invariants and polynomial invariants.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1912.00627