Victor Petrogradsky

564 total citations
41 papers, 295 citations indexed

About

Victor Petrogradsky is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Victor Petrogradsky has authored 41 papers receiving a total of 295 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Algebra and Number Theory, 35 papers in Geometry and Topology and 15 papers in Mathematical Physics. Recurrent topics in Victor Petrogradsky's work include Advanced Topics in Algebra (35 papers), Algebraic structures and combinatorial models (33 papers) and Advanced Algebra and Geometry (8 papers). Victor Petrogradsky is often cited by papers focused on Advanced Topics in Algebra (35 papers), Algebraic structures and combinatorial models (33 papers) and Advanced Algebra and Geometry (8 papers). Victor Petrogradsky collaborates with scholars based in Russia, Brazil and Italy. Victor Petrogradsky's co-authors include С. П. Мищенко, Antonio Giambruno, Amitai Regev, Daniela La Mattina, I. P. Shestakov, Yu. P. Razmyslov, Yuri Bahturin, Efim Zelmanov, D. S. Passman and Alexander A. Mikhalev and has published in prestigious journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society and Journal of Algebra.

In The Last Decade

Victor Petrogradsky

36 papers receiving 256 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Victor Petrogradsky Russia 10 271 248 91 79 48 41 295
Zhankui Xiao China 12 365 1.3× 331 1.3× 67 0.7× 41 0.5× 98 2.0× 37 376
I. S. Rakhimov Malaysia 11 333 1.2× 312 1.3× 84 0.9× 35 0.4× 34 0.7× 75 352
Loïc Foissy France 6 171 0.6× 168 0.7× 65 0.7× 54 0.7× 23 0.5× 12 189
Günter Krause Canada 8 374 1.4× 359 1.4× 110 1.2× 30 0.4× 54 1.1× 29 444
Miguel Ferrero Brazil 13 472 1.7× 358 1.4× 148 1.6× 36 0.5× 47 1.0× 50 506
Muriel Livernet France 7 265 1.0× 257 1.0× 197 2.2× 26 0.3× 27 0.6× 19 301
Graham Leuschke United States 9 267 1.0× 307 1.2× 71 0.8× 29 0.4× 26 0.5× 20 322
Yu. A. Bahturin Canada 6 226 0.8× 217 0.9× 57 0.6× 21 0.3× 50 1.0× 9 231
Matı́as Graña Argentina 5 128 0.5× 245 1.0× 125 1.4× 69 0.9× 25 0.5× 8 253
Serge Ovsienko Ukraine 12 173 0.6× 232 0.9× 127 1.4× 45 0.6× 18 0.4× 21 242

Countries citing papers authored by Victor Petrogradsky

Since Specialization
Citations

This map shows the geographic impact of Victor Petrogradsky'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 Victor Petrogradsky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Victor Petrogradsky more than expected).

Fields of papers citing papers by Victor Petrogradsky

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Victor Petrogradsky. 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 Victor Petrogradsky. The network helps show where Victor Petrogradsky may publish in the future.

Co-authorship network of co-authors of Victor Petrogradsky

This figure shows the co-authorship network connecting the top 25 collaborators of Victor Petrogradsky. A scholar is included among the top collaborators of Victor Petrogradsky 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 Victor Petrogradsky. Victor Petrogradsky is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Allouche, Jean‐Paul & Victor Petrogradsky. (2023). A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra. Journal of Algebra. 639. 708–719.
2.
Petrogradsky, Victor, et al.. (2017). Lie structure of truncated symmetric Poisson algebras. Journal of Algebra. 488. 244–281. 6 indexed citations
3.
Petrogradsky, Victor. (2016). Fractal nil graded Lie superalgebras. Journal of Algebra. 466. 229–283. 2 indexed citations
4.
Petrogradsky, Victor, et al.. (2015). Ideal growth in metabelian Lie P-algebras. Siberian Mathematical Journal. 56(4). 714–724.
5.
Petrogradsky, Victor & I. P. Shestakov. (2013). On Properties of the Fibonacci Restricted Lie Algebra. Journal of Lie theory. 23(2). 407–431. 3 indexed citations
6.
Petrogradsky, Victor & I. P. Shestakov. (2013). Self-similar associative algebras. Journal of Algebra. 390. 100–125. 2 indexed citations
7.
Мищенко, С. П., Victor Petrogradsky, & Amitai Regev. (2011). Characterization of non-matrix varieties of associative algebras. Israel Journal of Mathematics. 182(1). 337–348. 5 indexed citations
8.
Petrogradsky, Victor & I. P. Shestakov. (2009). Examples of Self-Iterating Lie Algebras, 2. Journal of Lie theory. 19(4). 697–724. 5 indexed citations
9.
Мищенко, С. П., Victor Petrogradsky, & Amitai Regev. (2007). Poisson PI algebras. Transactions of the American Mathematical Society. 359(10). 4669–4694. 19 indexed citations
10.
Petrogradsky, Victor, et al.. (2006). Wreath products and Kaluzhnin-Krasner embedding for Lie algebras. Proceedings of the American Mathematical Society. 135(3). 625–636. 11 indexed citations
11.
Petrogradsky, Victor. (2006). Multiple zeta functions and asymptotic structure of free Abelian groups of finite rank. Journal of Pure and Applied Algebra. 208(3). 1137–1158. 3 indexed citations
12.
Petrogradsky, Victor. (2006). One-Sided Ideal Growth of Free Associative Algebras. Monatshefte für Mathematik. 149(3). 243–249. 3 indexed citations
13.
Petrogradsky, Victor. (2006). Examples of self-iterating Lie algebras. Journal of Algebra. 302(2). 881–886. 16 indexed citations
14.
Petrogradsky, Victor. (2005). Enumeration of algebras close to absolutely free algebras and binary trees. Journal of Algebra. 290(2). 337–371. 3 indexed citations
15.
Bahturin, Yuri & Victor Petrogradsky. (2002). Polynomial Identities in Smash Products. Journal of Lie theory. 12(2). 369–395. 5 indexed citations
16.
Petrogradsky, Victor. (2002). On generating functions for subalgebras of free Lie superalgebras. Discrete Mathematics. 246(1-3). 269–284. 3 indexed citations
17.
Petrogradsky, Victor. (2000). Exponents of Subvarieties of Upper Triangular Matrices over Arbitrary Fields are Integral. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 26(2). 167–176. 4 indexed citations
18.
Petrogradsky, Victor. (2000). On growth of Lie algebras, generalized partitions, and analytic functions. Discrete Mathematics. 217(1-3). 337–351. 6 indexed citations
19.
Petrogradsky, Victor. (1997). On Lie algebras with nonintegral 𝑞-dimensions. Proceedings of the American Mathematical Society. 125(3). 649–656. 10 indexed citations
20.
Petrogradsky, Victor. (1996). Intermediate Growth in Lie Algebras and Their Enveloping Algebras. Journal of Algebra. 179(2). 459–482. 21 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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