Petrogradsky, Victor Schreier’s type formulae and two scales for growth of Lie algebras and groups. (English) Zbl 07822797 Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 81-94 (2023). MSC: 17-XX PDFBibTeX XMLCite \textit{V. Petrogradsky}, Springer Proc. Math. Stat. 427, 81--94 (2023; Zbl 07822797) Full Text: DOI arXiv
Petrogradsky, Victor Identities in group rings, enveloping algebras and Poisson algebras. (English) Zbl 1491.16026 Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 335-354 (2021). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16R10 16S30 16S34 17B35 17B63 PDFBibTeX XMLCite \textit{V. Petrogradsky}, Springer INdAM Ser. 44, 335--354 (2021; Zbl 1491.16026) Full Text: DOI arXiv
Monteiro Alves, Ilana Z.; Petrogradsky, Victor Lie structure of truncated symmetric Poisson algebras. (English) Zbl 1427.17033 J. Algebra 488, 244-281 (2017). MSC: 17B63 17B50 17B01 17B30 17B65 16R10 PDFBibTeX XMLCite \textit{I. Z. Monteiro Alves} and \textit{V. Petrogradsky}, J. Algebra 488, 244--281 (2017; Zbl 1427.17033) Full Text: DOI arXiv
Petrogradskiĭ, V. M. Identities in the enveloping algebras for modular Lie superalgebras. (English) Zbl 0752.17001 J. Algebra 145, No. 1, 1-21 (1992). Reviewer: Vesselin Drensky (Sofia) MSC: 17B50 16R10 16S30 17B35 PDFBibTeX XMLCite \textit{V. M. Petrogradskiĭ}, J. Algebra 145, No. 1, 1--21 (1992; Zbl 0752.17001) Full Text: DOI
Petrogradskiĭ, V. M. Existence of identities in the restricted enveloping algebra. (English. Russian original) Zbl 0729.17007 Math. Notes 49, No. 1, 60-66 (1991). MSC: 17B35 17B50 16R10 16S30 17B01 PDFBibTeX XMLCite \textit{V. M. Petrogradskiĭ}, Math. Notes 49, No. 1, 60--66 (1991; Zbl 0729.17007) Full Text: DOI