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pro vyhledávání: '"Bavula, Volodymyr"'
Autor:
Bavula, Volodymyr, Hakami, K.
The aim of the paper is to study the ring of differential operators $\mathcal{D}(A(m))$ on the generalized multi-cusp algebra $A(m)$ where $m\in \mathbb{N}^n$ (of Krull dimension $n$). The algebra $A(m)$ is singular apart from the single case when $m
Externí odkaz:
http://arxiv.org/abs/2312.17303
Autor:
Bavula, Volodymyr
This paper consists of three parts: (I) To develop general theory of a (large) class of central simple finite dimensional algebras and answering some natural questions about them (that in general situation it is not even clear how to approach them, a
Externí odkaz:
http://arxiv.org/abs/2312.17302
Autor:
Bavula, Volodymyr, Khabyah, A. Al
In \cite{BigAlg-3gen}, an explicit description of bi-quadratic algebras on three generators with PBW basis was obtained. There are four classes: I-IV. The aim of the paper is to study algebras that belong to one of the classes: class II.1. In this cl
Externí odkaz:
http://arxiv.org/abs/2312.17182
Classification of multiplication modules over multiplication rings with finitely many minimal primes
Autor:
Bavula, Volodymyr
A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many minimal primes is given via faithful, Noetherian, distributive modules.
Externí odkaz:
http://arxiv.org/abs/2312.17170
Autor:
Bavula, Volodymyr
The aim of the paper is to start to develop the most general theory of localizations/inversion. Several new concepts are introduced and studied.
Comment: 38 pages
Comment: 38 pages
Externí odkaz:
http://arxiv.org/abs/2312.17145
Autor:
Bavula, Volodymyr
Goldie's Theorem implies that a semiprime left Goldie ring is embeddable into a semisimple Artinian ring. On the other hand, there are domains that are not embeddable into division rings. A criterion for a semiprime ring being embeddable into a semis
Externí odkaz:
http://arxiv.org/abs/2312.17128
Akademický článek
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Autor:
Bavula, Volodymyr, Futorny, Vyacheslav
Let R be a ring (not necessarily with 1) and G be a finite group of automorphisms of R. The set B(R, G) of primes p such that p | |G| and R is not p-torsion free, is called the set of bad primes. When the ring is |G|-torsion free, i.e., B(R, G) is em
Externí odkaz:
http://arxiv.org/abs/1704.07190
Autor:
Bavula, Volodymyr V.
Publikováno v:
Journal of Noncommutative Geometry; 2024, Vol. 18 Issue 3, p1041-1079, 39p
Akademický článek
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