Homolya, Szilvia; Szigeti, Jenő; van Wyk, Leon; Ziembowski, Michał Lie properties in associative algebras. (English) Zbl 1492.16026 J. Algebra 573, 492-508 (2021). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16S50 16U70 16W20 16U80 15B30 PDFBibTeX XMLCite \textit{S. Homolya} et al., J. Algebra 573, 492--508 (2021; Zbl 1492.16026) Full Text: DOI arXiv
Szigeti, Jenő; Szilágyi, Szilvia; van Wyk, Leon A power Cayley-Hamilton identity for \(n \times n\) matrices over a Lie nilpotent ring of index \(k\). (English) Zbl 1425.15031 Linear Algebra Appl. 584, 153-163 (2020). MSC: 15B33 15A15 15A24 16S50 PDFBibTeX XMLCite \textit{J. Szigeti} et al., Linear Algebra Appl. 584, 153--163 (2020; Zbl 1425.15031) Full Text: DOI arXiv
Szigeti, Jenő; van Wyk, Leon A constructive elementary proof of the Skolem-Noether theorem for matrix algebras. (English) Zbl 1391.15041 Am. Math. Mon. 124, No. 10, 966-968 (2017). MSC: 15A18 16S50 16W20 PDFBibTeX XMLCite \textit{J. Szigeti} and \textit{L. van Wyk}, Am. Math. Mon. 124, No. 10, 966--968 (2017; Zbl 1391.15041) Full Text: DOI arXiv
Márki, László; Meyer, Johan; Szigeti, Jeno; van Wyk, Leon Matrix representations of finitely generated Grassmann algebras and some consequences. (English) Zbl 1344.16023 Isr. J. Math. 208, 373-384 (2015). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R20 15A75 PDFBibTeX XMLCite \textit{L. Márki} et al., Isr. J. Math. 208, 373--384 (2015; Zbl 1344.16023) Full Text: DOI arXiv Link
Szigeti, Jenő; Van Wyk, Leon On Lie nilpotent rings and Cohen’s theorem. (English) Zbl 1333.16003 Commun. Algebra 43, No. 11, 4783-4796 (2015). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16D25 16P40 16N40 16W10 16U70 16U80 PDFBibTeX XMLCite \textit{J. Szigeti} and \textit{L. Van Wyk}, Commun. Algebra 43, No. 11, 4783--4796 (2015; Zbl 1333.16003) Full Text: DOI arXiv
Révész, Gábor; Szigeti, Jenö Eulerian trace identities. (English) Zbl 0841.05069 Discrete Math. 147, No. 1-3, 313-319 (1995). Reviewer: Ma Zhongfan (Beijing) MSC: 05C50 05C45 05C70 PDFBibTeX XMLCite \textit{G. Révész} and \textit{J. Szigeti}, Discrete Math. 147, No. 1--3, 313--319 (1995; Zbl 0841.05069) Full Text: DOI
Révész, Gábor; Szigeti, Jenö Identities of symmetric and skew-symmetric matrices in characteristic \(p\). (English) Zbl 0829.15019 Rend. Circ. Mat. Palermo, II. Ser. 44, No. 1, 94-106 (1995). Reviewer: G.Bonanno (Davis) MSC: 15B57 15A24 15A15 PDFBibTeX XMLCite \textit{G. Révész} and \textit{J. Szigeti}, Rend. Circ. Mat. Palermo (2) 44, No. 1, 94--106 (1995; Zbl 0829.15019) Full Text: DOI