7 papers
Rings of differential operators on singular generalized multi-cusp algebras
Volodymyr Bavula, K. Hakami
The aim of the paper is to study the ring of differential operators on the generalized multi-cusp algebra where (of Krull dimension $…
Classifications of prime ideals and simple modules of the quantum Weyl algebra ( is a root of unity)
Volodymyr Bavula
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 (…
Bi-quadratic algebras on 3 generators with PBW: class II.1
Volodymyr Bavula, A. Al Khabyah
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 st…
Classification of multiplication modules over multiplication rings with finitely many minimal primes
Volodymyr Bavula
A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many mi…
General theory of localizations of rings and modules
Volodymyr Bavula
The aim of the paper is to start to develop the most general theory of localizations/inversion. Several new concepts are introduced and studied.
Embeddings of semiprime rings into semisimple Artinian rings
Volodymyr Bavula
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…