Zobrazeno 1 - 10
of 233
pro vyhledávání: '"Bavula, V. V."'
Autor:
Bavula, V. V.
The class of semiprime left Goldie rings is a huge class of rings that contains many large subclasses of rings -- semiprime left Noetherian rings, semiprime rings with Krull dimension, rings of differential operators on affine algebraic varieties and
Externí odkaz:
http://arxiv.org/abs/2411.08004
Autor:
Bavula, V. V.
The class of $\D$-locally nilpotent algebras (introduced in the paper) is a wide generalization of the algebras of differential operators on commutative algebras. Examples includes all the rings $\CD (A)$ of differential operators on commutative alge
Externí odkaz:
http://arxiv.org/abs/2406.07569
Autor:
Bavula, V. V.
The aim of the papers is to describe the left regular left quotient ring ${}'Q(R)$ and the right regular right quotient ring $Q'(R)$ for the following algebras $R$: $\mS_n=\mS_1^{\t n}$ is the algebra of one-sided inverses, where $\mS_1=K\langle x,y\
Externí odkaz:
http://arxiv.org/abs/2404.12116
Autor:
Bavula, V. V.
In \cite[Section 5, p.32]{Arnold-1998}, Arnold writes: "Classification of singularities of curves can be interpreted in dual terms as a description of 'co-artin' subalgebras of finite co-dimension in the algebra of formal series in a single variable
Externí odkaz:
http://arxiv.org/abs/2206.08286
Autor:
Bavula, V. V.
The concepts of localizable set, localization of a ring and a module at a localizable set are introduced and studied. Localizable sets are generalization of Ore sets and denominator sets, and the localization of a ring/module at a localizable set is
Externí odkaz:
http://arxiv.org/abs/2112.13447
Autor:
Bavula, V. V.
The aim of the paper is to give an explicit description of bi-quadratic algebras on 3 generators with PBW basis.
Comment: 24 pages
Comment: 24 pages
Externí odkaz:
http://arxiv.org/abs/2112.11105
Autor:
Bavula, V. V.
A polynomial endomorphism $\sigma\in {\rm End}_K(P_n)$ is called a Jacobian map if its Jacobian is a nonzero scalar (the field has zero characteristic). Each Jacobian map $\sigma$ is extended to an endomorphism $\sigma$ of the Weyl algebra $A_n$. The
Externí odkaz:
http://arxiv.org/abs/2112.03177
Autor:
Bavula, V. V.
Let $\Lambda (f) = K[x][y; f\frac{d}{dx} ]$ be an Ore extension of a polynomial algebra $K[x]$ over an arbitrary field $K$ of characteristic $p>0$ where $f\in K[x]$. For each polynomial $f$, the automorphism group of the algebras $\Lambda (f)$ is exp
Externí odkaz:
http://arxiv.org/abs/2107.09977
Autor:
Bavula, V. V.
Let $\L (f) = K[x][y; f\frac{d}{dx} ]$ be an Ore extension of a polynomial algebra $K[x]$ over a field $K$ of characteristic zero where $f\in K[x]$. For a given polynomial $f$, the automorphism group of the algebra $\L (f) $ is explicitly described.
Externí odkaz:
http://arxiv.org/abs/2107.09401
Autor:
Bavula, V. V.
For a generalized Weyl Poisson algebra $A$, explicit sets of generators and defining relations are presented for its Poisson enveloping algebra $\CU (A)$. Simplicity criteria are given for the algebra $\CU (A)$ and algebra of Poisson differential ope
Externí odkaz:
http://arxiv.org/abs/2107.00944