Shalev, Aner; Smoktunowicz, Agata From braces to pre-Lie rings. (English) Zbl 07810095 Proc. Am. Math. Soc. 152, No. 4, 1545-1559 (2024). MSC: 17D99 20F18 20F40 17B70 20D15 PDFBibTeX XMLCite \textit{A. Shalev} and \textit{A. Smoktunowicz}, Proc. Am. Math. Soc. 152, No. 4, 1545--1559 (2024; Zbl 07810095) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata From braces to Hecke algebras and quantum groups. (English) Zbl 07709987 J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023). Reviewer: Marzia Mazzotta (Lecce) MSC: 16T20 16T25 17B37 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{A. Smoktunowicz}, J. Algebra Appl. 22, No. 8, Article ID 2350179, 28 p. (2023; Zbl 07709987) Full Text: DOI arXiv
Smoktunowicz, Agata On the passage from finite braces to pre-Lie rings. (English) Zbl 1512.17055 Adv. Math. 409, Part B, Article ID 108683, 33 p. (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 17D25 16T25 20E99 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, Adv. Math. 409, Part B, Article ID 108683, 33 p. (2022; Zbl 1512.17055) Full Text: DOI arXiv
Puljić, D.; Smoktunowicz, A.; Zenouz, K. Nejabati Some braces of cardinality \(p^4\) and related Hopf-Galois extensions. (English) Zbl 1495.16032 New York J. Math. 28, 494-522 (2022). Reviewer: Cindy Tsang (Tokyo) MSC: 16T25 81R50 20D15 PDFBibTeX XMLCite \textit{D. Puljić} et al., New York J. Math. 28, 494--522 (2022; Zbl 1495.16032) Full Text: arXiv Link
Smoktunowicz, Agata Algebraic approach to Rump’s results on relations between braces and pre-Lie algebras. (English) Zbl 1505.16048 J. Algebra Appl. 21, No. 3, Article ID 2250054, 13 p. (2022). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 17B30 17D25 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, J. Algebra Appl. 21, No. 3, Article ID 2250054, 13 p. (2022; Zbl 1505.16048) Full Text: DOI arXiv
Smoktunowicz, Agata A new formula for Lazard’s correspondence for finite braces and pre-Lie algebras. (English) Zbl 1505.16066 J. Algebra 594, 202-229 (2022). Reviewer: Teresa Crespo (Barcelona) MSC: 16Y99 16T25 17A65 17B99 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, J. Algebra 594, 202--229 (2022; Zbl 1505.16066) Full Text: DOI arXiv
Doikou, Anastasia; Smoktunowicz, Agata Set-theoretic Yang-Baxter & reflection equations and quantum group symmetries. (English) Zbl 1486.16039 Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021). Reviewer: Matthew Harper (Columbus) MSC: 16T20 16T25 17B37 20G42 82B23 PDFBibTeX XMLCite \textit{A. Doikou} and \textit{A. Smoktunowicz}, Lett. Math. Phys. 111, No. 4, Paper No. 105, 40 p. (2021; Zbl 1486.16039) Full Text: DOI arXiv
Konovalov, Alexander; Smoktunowicz, Agata; Vendramin, Leandro On skew braces and their ideals. (English) Zbl 1476.16036 Exp. Math. 30, No. 1, 95-104 (2021); erratum ibid. 31, No. 1, 346 (2022). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 16T25 PDFBibTeX XMLCite \textit{A. Konovalov} et al., Exp. Math. 30, No. 1, 95--104 (2021; Zbl 1476.16036) Full Text: DOI arXiv
Smoktunowicz, Agata; Vendramin, Leandro; Weston, Robert Combinatorial solutions to the reflection equation. (English) Zbl 1444.16050 J. Algebra 549, 268-290 (2020). Reviewer: Eric Jespers (Brüssel) MSC: 16T25 PDFBibTeX XMLCite \textit{A. Smoktunowicz} et al., J. Algebra 549, 268--290 (2020; Zbl 1444.16050) Full Text: DOI arXiv
Cedó, Ferran; Gateva-Ivanova, Tatiana; Smoktunowicz, Agata Braces and symmetric groups with special conditions. (English) Zbl 1427.16027 J. Pure Appl. Algebra 222, No. 12, 3877-3890 (2018). MSC: 16T25 16W22 16N20 16N40 20F16 81R50 PDFBibTeX XMLCite \textit{F. Cedó} et al., J. Pure Appl. Algebra 222, No. 12, 3877--3890 (2018; Zbl 1427.16027) Full Text: DOI arXiv
Smoktunowicz, Agata On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation. (English) Zbl 1440.16040 Trans. Am. Math. Soc. 370, No. 9, 6535-6564 (2018). MSC: 16T25 16N80 16N40 16P90 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, Trans. Am. Math. Soc. 370, No. 9, 6535--6564 (2018; Zbl 1440.16040) Full Text: DOI arXiv
Smoktunowicz, Agata; Smoktunowicz, Alicja Set-theoretic solutions of the Yang-Baxter equation and new classes of \(\mathrm{R}\)-matrices. (English) Zbl 1384.16025 Linear Algebra Appl. 546, 86-114 (2018). MSC: 16T25 15A69 PDFBibTeX XMLCite \textit{A. Smoktunowicz} and \textit{A. Smoktunowicz}, Linear Algebra Appl. 546, 86--114 (2018; Zbl 1384.16025) Full Text: DOI arXiv
Smoktunowicz, Agata; Vendramin, Leandro [Byott, N.] On skew braces (with an appendix by N. Byott and L. Vendramin). (English) Zbl 1416.16037 J. Comb. Algebra 2, No. 1, 47-86 (2018). MSC: 16T25 81R50 12F10 PDFBibTeX XMLCite \textit{A. Smoktunowicz} and \textit{L. Vendramin}, J. Comb. Algebra 2, No. 1, 47--86 (2018; Zbl 1416.16037) Full Text: DOI arXiv
Smoktunowicz, Agata A note on set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1442.16037 J. Algebra 500, 3-18 (2018). MSC: 16T25 20D15 16N80 16N20 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, J. Algebra 500, 3--18 (2018; Zbl 1442.16037) Full Text: DOI arXiv
Smoktunowicz, Agata How far can we go with Amitsur’s theorem in differential polynomial rings? (English) Zbl 1371.16018 Isr. J. Math. 219, No. 2, 555-608 (2017). Reviewer: Halina France-Jackson (Port Elizabeth) MSC: 16N20 16N40 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, Isr. J. Math. 219, No. 2, 555--608 (2017; Zbl 1371.16018) Full Text: DOI Link
Cedó, Ferran; Gateva-Ivanova, Tatiana; Smoktunowicz, Agata On the Yang-Baxter equation and left nilpotent left braces. (English) Zbl 1397.16033 J. Pure Appl. Algebra 221, No. 4, 751-756 (2017). MSC: 16T25 20F45 81R50 PDFBibTeX XMLCite \textit{F. Cedó} et al., J. Pure Appl. Algebra 221, No. 4, 751--756 (2017; Zbl 1397.16033) Full Text: DOI arXiv
Smoktunowicz, Agata Infinite dimensional, affine nil algebras \(A \otimes A^{\mathrm{op}}\) and \(A \otimes A\) exist. (English) Zbl 1408.16015 J. Pure Appl. Algebra 219, No. 5, 1604-1638 (2015). MSC: 16N40 16N20 16S99 16T05 16L30 16L99 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, J. Pure Appl. Algebra 219, No. 5, 1604--1638 (2015; Zbl 1408.16015) Full Text: DOI arXiv
Smoktunowicz, Agata A note on nil and Jacobson radicals in graded rings. (English) Zbl 1298.16009 J. Algebra Appl. 13, No. 4, Article ID 1350121, 8 p. (2014). Reviewer: Stefan Veldsman (Port Elizabeth) MSC: 16N20 16N40 16W50 16D25 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, J. Algebra Appl. 13, No. 4, Article ID 1350121, 8 p. (2014; Zbl 1298.16009) Full Text: DOI arXiv