Edit Profile (opens in new tab) Petrenko, Bogdan V. Co-Author Distance Author ID: petrenko.bogdan-v Published as: Petrenko, B. V.; Petrenko, Bogdan V.; Petrenko, B. more...less Homepage: http://ux1.eiu.edu/~bvpetrenko/ External Links: MGP Documents Indexed: 21 Publications since 1997, including 3 Additional arXiv Preprints Reviewing Activity: 2 Reviews Co-Authors: 8 Co-Authors with 14 Joint Publications 192 Co-Co-Authors all top 5 Co-Authors 7 single-authored 8 Mazur, Marcin 3 Kravchenko, Rostyslav V. 3 Kurdachenko, Leonid Andriĭovych 3 Subbotin, Igor Yakov 1 Anikin, B. A. 1 Nguyen, Quang-Thuong 1 Phung, The-Dong 1 Sidki, Said Najati all top 5 Serials 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of Algebra 2 Japanese Journal of Mathematics. 3rd Series 1 Communications in Algebra 1 Archiv der Mathematik 1 Geometriae Dedicata 1 Journal of Pure and Applied Algebra 1 Finite Fields and their Applications 1 Matemática Contemporânea 1 The Ramanujan Journal 1 Matematychni Studiï 1 The Quarterly Journal of Mathematics 1 Integers 1 Algebra & Number Theory 1 Advances and Applications in Discrete Mathematics all top 5 Fields 11 Associative rings and algebras (16-XX) 10 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 4 Field theory and polynomials (12-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10 Publications have been cited 18 times in 14 Documents Cited by ▼ Year ▼ On pairs of matrices generating matrix rings and their presentations. Zbl 1122.16017 Petrenko, B. V.; Sidki, S. N. 3 2007 Generalizations of Arnold’s version of Euler’s theorem for matrices. Zbl 1234.05016 Mazur, Marcin; Petrenko, Bogdan V. 3 2010 On the smallest number of generators and the probability of generating an algebra. Zbl 1282.11154 Kravchenko, Rostyslav V.; Mazur, Marcin; Petrenko, Bogdan V. 3 2012 On generalized hypercenters in Artinian modules. Zbl 0877.20026 Kurdachenko, L. A.; Petrenko, B. V.; Subbotin, I. Ya. 2 1997 Separable algebras over infinite fields are 2-generated and finitely presented. Zbl 1190.16026 Mazur, Marcin; Petrenko, Bogdan V. 2 2009 On the conjectures of Atiyah and Sutcliffe. Zbl 1257.51007 Mazur, Marcin; Petrenko, Bogdan V. 1 2012 On the product of two primitive elements of maximal subfields of a finite field. Zbl 1081.11078 Petrenko, B. V. 1 2003 On the sum of two primitive elements of maximal subfields of a finite field. Zbl 1081.11079 Petrenko, B. V. 1 2003 Representations of analytic functions as infinite products and their application to numerical computations. Zbl 1317.30055 Mazur, Marcin; Petrenko, Bogdan V. 1 2014 Generators of maximal orders. Zbl 1312.16012 Kravchenko, Rostyslav; Mazur, Marcin; Petrenko, Bogdan V. 1 2015 Generators of maximal orders. Zbl 1312.16012 Kravchenko, Rostyslav; Mazur, Marcin; Petrenko, Bogdan V. 1 2015 Representations of analytic functions as infinite products and their application to numerical computations. Zbl 1317.30055 Mazur, Marcin; Petrenko, Bogdan V. 1 2014 On the smallest number of generators and the probability of generating an algebra. Zbl 1282.11154 Kravchenko, Rostyslav V.; Mazur, Marcin; Petrenko, Bogdan V. 3 2012 On the conjectures of Atiyah and Sutcliffe. Zbl 1257.51007 Mazur, Marcin; Petrenko, Bogdan V. 1 2012 Generalizations of Arnold’s version of Euler’s theorem for matrices. Zbl 1234.05016 Mazur, Marcin; Petrenko, Bogdan V. 3 2010 Separable algebras over infinite fields are 2-generated and finitely presented. Zbl 1190.16026 Mazur, Marcin; Petrenko, Bogdan V. 2 2009 On pairs of matrices generating matrix rings and their presentations. Zbl 1122.16017 Petrenko, B. V.; Sidki, S. N. 3 2007 On the product of two primitive elements of maximal subfields of a finite field. Zbl 1081.11078 Petrenko, B. V. 1 2003 On the sum of two primitive elements of maximal subfields of a finite field. Zbl 1081.11079 Petrenko, B. V. 1 2003 On generalized hypercenters in Artinian modules. Zbl 0877.20026 Kurdachenko, L. A.; Petrenko, B. V.; Subbotin, I. Ya. 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 20 Authors 4 Mazur, Marcin 4 Petrenko, Bogdan V. 2 Kurdachenko, Leonid Andriĭovych 2 Subbotin, Igor Yakov 1 Camburu, Oana-Maria 1 Ciolan, Alexandru 1 Kassabov, Martin 1 Kolegov, N. A. 1 Kravchenko, Rostyslav V. 1 Luca, Florian 1 Ludkovsky, Sergey Victor 1 Moree, Pieter 1 Otal, Javier 1 Semko, Nikolaj N. 1 Sercombe, Damian 1 Shalev, Aner 1 Shparlinski, Igor E. 1 Steinlein, Heinrich 1 Veljan, Darko 1 Weintraub, Steven Howard all top 5 Cited in 13 Serials 2 Journal of Algebra 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Archiv der Mathematik 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Topological Methods in Nonlinear Analysis 1 The Ramanujan Journal 1 Journal of Algebra and its Applications 1 Japanese Journal of Mathematics. 3rd Series 1 Groups, Complexity, Cryptology all top 5 Cited in 11 Fields 7 Associative rings and algebras (16-XX) 4 Number theory (11-XX) 3 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) Citations by Year