V. V. Bavula

1.2k total citations
86 papers, 534 citations indexed

About

V. V. Bavula is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, V. V. Bavula has authored 86 papers receiving a total of 534 indexed citations (citations by other indexed papers that have themselves been cited), including 78 papers in Geometry and Topology, 76 papers in Algebra and Number Theory and 21 papers in Mathematical Physics. Recurrent topics in V. V. Bavula's work include Advanced Topics in Algebra (70 papers), Algebraic structures and combinatorial models (54 papers) and Advanced Differential Equations and Dynamical Systems (24 papers). V. V. Bavula is often cited by papers focused on Advanced Topics in Algebra (70 papers), Algebraic structures and combinatorial models (54 papers) and Advanced Differential Equations and Dynamical Systems (24 papers). V. V. Bavula collaborates with scholars based in United Kingdom, Ukraine and Belgium. V. V. Bavula's co-authors include F. Van Oystaeyen, David Jordan, Tao Lü, T. H. Lenagan, Vyacheslav Futorny and Viktor Levandovskyy and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Journal of Mathematical Physics.

In The Last Decade

V. V. Bavula

73 papers receiving 480 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
V. V. Bavula United Kingdom	13	481	480	178	130	49	86	534
Freddy Van Oystaeyen Belgium	13	407 0.8×	452 0.9×	230 1.3×	112 0.9×	27 0.6×	54	486
G. Militaru Romania	12	548 1.1×	566 1.2×	310 1.7×	136 1.0×	23 0.5×	53	595
Warren D. Nichols United States	11	478 1.0×	460 1.0×	152 0.9×	150 1.2×	58 1.2×	26	534
Alexey Bondal Russia	8	374 0.8×	733 1.5×	492 2.8×	186 1.4×	33 0.7×	16	767
Michel L. Racine Canada	13	412 0.9×	383 0.8×	138 0.8×	52 0.4×	69 1.4×	42	460
Ellen Kirkman United States	13	477 1.0×	470 1.0×	171 1.0×	138 1.1×	28 0.6×	47	504
S. Paul Smith United States	15	622 1.3×	691 1.4×	352 2.0×	134 1.0×	45 0.9×	57	749
Şerban Raianu Romania	11	401 0.8×	406 0.8×	193 1.1×	86 0.7×	15 0.3×	28	433
Volodymyr Lyubashenko United Kingdom	13	350 0.7×	501 1.0×	346 1.9×	152 1.2×	15 0.3×	26	537
Lidia Angeleri Hügel Italy	17	673 1.4×	723 1.5×	252 1.4×	210 1.6×	12 0.2×	51	740

Countries citing papers authored by V. V. Bavula

Since Specialization

Citations

This map shows the geographic impact of V. V. Bavula's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by V. V. Bavula with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites V. V. Bavula more than expected).

Fields of papers citing papers by V. V. Bavula

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by V. V. Bavula. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by V. V. Bavula. The network helps show where V. V. Bavula may publish in the future.

Co-authorship network of co-authors of V. V. Bavula

This figure shows the co-authorship network connecting the top 25 collaborators of V. V. Bavula. A scholar is included among the top collaborators of V. V. Bavula based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with V. V. Bavula. V. V. Bavula is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Bavula, V. V.. (2022). Isomorphism problems and groups of automorphisms for Ore extensions 𝐾[𝑥][𝑦;𝛿] (zero characteristic). Proceedings of the American Mathematical Society.

Bavula, V. V. & Tao Lü. (2018). The Universal Enveloping Algebra U(sl2 sdir V2), its Prime Spectrum and a Classification of its Simple Weight Modules. Journal of Lie theory. 28(2). 525–560. 4 indexed citations

Bavula, V. V. & Tao Lü. (2017). Classification of Simple Weight Modules over the Schrödinger Algebra. Canadian Mathematical Bulletin. 61(1). 16–39. 18 indexed citations

Bavula, V. V., et al.. (2017). Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Proceedings of the American Mathematical Society. 146(6). 2373–2380.

Bavula, V. V.. (2015). The largest strong left quotient ring of a ring. Journal of Algebra. 439. 1–32. 5 indexed citations

Bavula, V. V.. (2009). Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic. Representation Theory of the American Mathematical Society. 13(10). 182–227. 8 indexed citations

Bavula, V. V.. (2009). Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic. Journal of Algebra. 323(4). 1036–1051. 1 indexed citations

Bavula, V. V.. (2008). The Carlitz algebras. Journal of Pure and Applied Algebra. 212(5). 1175–1186.

Bavula, V. V. & T. H. Lenagan. (2008). Quadratic and cubic invariants of unipotent affine automorphisms. Journal of Algebra. 320(12). 4132–4155. 1 indexed citations

10.

Bavula, V. V.. (2007). Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras. 11 indexed citations

11.

Bavula, V. V.. (2006). The inversion formula for automorphisms of the Weyl algebras and polynomial algebras. Journal of Pure and Applied Algebra. 210(1). 147–159. 13 indexed citations

12.

Bavula, V. V.. (2004). Lüroth field extensions. Journal of Pure and Applied Algebra. 199(1-3). 1–10. 1 indexed citations

13.

Bavula, V. V. & F. Van Oystaeyen. (2003). Simple modules of the Witten–Woronowicz algebra. Journal of Algebra. 271(2). 827–845. 10 indexed citations

14.

Bavula, V. V. & T. H. Lenagan. (2001). Generalized Weyl Algebras Are Tensor Krull Minimal. Journal of Algebra. 239(1). 93–111. 10 indexed citations

15.

Bavula, V. V. & T. H. Lenagan. (2001). Krull Dimension of Generalized Weyl Algebras with Noncommutative Coefficients. Journal of Algebra. 235(1). 315–358. 10 indexed citations

16.

Bavula, V. V. & F. Van Oystaeyen. (2000). The simple modules of the Lie superalgebra osp(1,2). Journal of Pure and Applied Algebra. 150(1). 41–52. 8 indexed citations

17.

Bavula, V. V. & F. Van Oystaeyen. (2000). Simple Holonomic Modules over the Second Weyl Algebra A2. Advances in Mathematics. 150(1). 80–116. 12 indexed citations

18.

Bavula, V. V. & F. Van Oystaeyen. (1998). Krull Dimension of Generalized Weyl Algebras and Iterated Skew Polynomial Rings: Commutative Coefficients. Journal of Algebra. 208(1). 1–34. 14 indexed citations

19.

Bavula, V. V. & F. Van Oystaeyen. (1997). The Simple Modules of Certain Generalized Crossed Products. Journal of Algebra. 194(2). 521–566. 33 indexed citations

20.

Bavula, V. V.. (1992). Computation ofH*(sl(2),M) with coefficients in a simple sl(2)-module. Functional Analysis and Its Applications. 26(1). 45–46. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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