Deryabina, Galina; Krasilnikov, Alexei Some products of commutators in an associative ring. (English) Zbl 1447.16022 Int. J. Algebra Comput. 29, No. 2, 333-341 (2019). MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{G. Deryabina} and \textit{A. Krasilnikov}, Int. J. Algebra Comput. 29, No. 2, 333--341 (2019; Zbl 1447.16022) Full Text: DOI arXiv
da Costa, Eudes Antonio; Krasilnikov, Alexei Relations in universal Lie nilpotent associative algebras of class 4. (English) Zbl 1441.16023 Commun. Algebra 46, No. 3, 1367-1386 (2018). MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{E. A. da Costa} and \textit{A. Krasilnikov}, Commun. Algebra 46, No. 3, 1367--1386 (2018; Zbl 1441.16023) Full Text: DOI arXiv
Deryabina, Galina; Krasilnikov, Alexei Products of several commutators in a Lie nilpotent associative algebra. (English) Zbl 1379.16014 Int. J. Algebra Comput. 27, No. 8, 1027-1040 (2017). MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{G. Deryabina} and \textit{A. Krasilnikov}, Int. J. Algebra Comput. 27, No. 8, 1027--1040 (2017; Zbl 1379.16014) Full Text: DOI arXiv
Deryabina, Galina; Krasilnikov, Alexei Products of commutators in a Lie nilpotent associative algebra. (English) Zbl 1386.16011 J. Algebra 469, 84-95 (2017). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{G. Deryabina} and \textit{A. Krasilnikov}, J. Algebra 469, 84--95 (2017; Zbl 1386.16011) Full Text: DOI arXiv
Deryabina, Galina; Krasilnikov, Alexei The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3. (English) Zbl 1333.16023 J. Algebra 428, 230-255 (2015). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R40 17B01 17B30 PDFBibTeX XMLCite \textit{G. Deryabina} and \textit{A. Krasilnikov}, J. Algebra 428, 230--255 (2015; Zbl 1333.16023) Full Text: DOI arXiv
Gonçalves, Dimas José; Krasilnikov, Alexei; Sviridova, Irina Limit T-subalgebras in free associative algebras. (English) Zbl 1306.16014 J. Algebra 412, 264-280 (2014). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R40 16S10 PDFBibTeX XMLCite \textit{D. J. Gonçalves} et al., J. Algebra 412, 264--280 (2014; Zbl 1306.16014) Full Text: DOI
Krasilnikov, Alexei The additive group of a Lie nilpotent associative ring. (English) Zbl 1296.16019 J. Algebra 392, 10-22 (2013). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{A. Krasilnikov}, J. Algebra 392, 10--22 (2013; Zbl 1296.16019) Full Text: DOI arXiv
Gonçalves, Dimas José; Krasilnikov, Alexei; Sviridova, Irina Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra. (English) Zbl 1276.16012 J. Algebra 371, 156-174 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 15A75 16R40 16R50 PDFBibTeX XMLCite \textit{D. J. Gonçalves} et al., J. Algebra 371, 156--174 (2012; Zbl 1276.16012) Full Text: DOI arXiv
Brandão, Antônio Pereira jun.; Koshlukov, Plamen; Krasilnikov, Alexei; Alves da Silva, Élida The central polynomials for the Grassmann algebra. (English) Zbl 1207.16021 Isr. J. Math. 179, 127-144 (2010). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 15A75 16S10 PDFBibTeX XMLCite \textit{A. P. Brandão jun.} et al., Isr. J. Math. 179, 127--144 (2010; Zbl 1207.16021) Full Text: DOI Link
Kireeva, E. A.; Krasil’nikov, A. N. On some extremal varieties of associative algebras. (English. Russian original) Zbl 1110.16020 Math. Notes 78, No. 4, 503-517 (2005); translation from Mat. Zametki 78, No. 4, 542-558 (2005). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R40 15A75 PDFBibTeX XMLCite \textit{E. A. Kireeva} and \textit{A. N. Krasil'nikov}, Math. Notes 78, No. 4, 503--517 (2005; Zbl 1110.16020); translation from Mat. Zametki 78, No. 4, 542--558 (2005) Full Text: DOI