Elhamdadi, M.; Makhlouf, A.; Silvestrov, S.; Zappala, E. Derivation problem for quandle algebras. (English) Zbl 1522.17007 Int. J. Algebra Comput. 32, No. 5, 985-1007 (2022). MSC: 17A36 17A01 57K12 PDFBibTeX XMLCite \textit{M. Elhamdadi} et al., Int. J. Algebra Comput. 32, No. 5, 985--1007 (2022; Zbl 1522.17007) Full Text: DOI arXiv
Ma, Tianshui; Makhlouf, Abdenacer; Silvestrov, Sergei Rota-Baxter cosystems and coquasitriangular mixed bialgebras. (English) Zbl 1476.16030 J. Algebra Appl. 20, No. 4, Article ID 2150064, 28 p. (2021). Reviewer: Serban Raianu (Carson) MSC: 16T05 16W99 PDFBibTeX XMLCite \textit{T. Ma} et al., J. Algebra Appl. 20, No. 4, Article ID 2150064, 28 p. (2021; Zbl 1476.16030) Full Text: DOI
Kitouni, Abdennour; Makhlouf, Abdenacer; Silvestrov, Sergei On solvability and nilpotency for \(n\)-Hom-Lie algebras and \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras. (English) Zbl 1479.17009 Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 127-157 (2020). MSC: 17A40 17A42 17B30 17B55 PDFBibTeX XMLCite \textit{A. Kitouni} et al., Springer Proc. Math. Stat. 317, 127--157 (2020; Zbl 1479.17009) Full Text: DOI
Kitouni, Abdennour; Silvestrov, Sergei; Makhlouf, Abdenacer On \(n\)-ary generalization of BiHom-Lie algebras and BiHom-associative algebras. (English) Zbl 1485.17015 Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 99-126 (2020). MSC: 17A42 17B61 17A30 17A40 17B30 17B55 PDFBibTeX XMLCite \textit{A. Kitouni} et al., Springer Proc. Math. Stat. 317, 99--126 (2020; Zbl 1485.17015) Full Text: DOI arXiv
Ma, Tianshui; Makhlouf, Abdenacer; Silvestrov, Sergei Curved O-operator systems. arXiv:1710.05232 Preprint, arXiv:1710.05232 [math.RA] (2017). MSC: 16T05 16T25 16W99 BibTeX Cite \textit{T. Ma} et al., ``Curved O-operator systems'', Preprint, arXiv:1710.05232 [math.RA] (2017) Full Text: arXiv OA License
Ma, Tianshui; Makhlouf, Abdenacer; Silvestrov, Sergei Rota-Baxter bisystems and covariant bialgebras. arXiv:1710.05161 Preprint, arXiv:1710.05161 [math.RA] (2017). MSC: 16T05 16W99 BibTeX Cite \textit{T. Ma} et al., ``Rota-Baxter bisystems and covariant bialgebras'', Preprint, arXiv:1710.05161 [math.RA] (2017) Full Text: arXiv OA License
Elchinger, Olivier; Lundengård, Karl; Makhlouf, Abdenacer; Silvestrov, Sergei D. Brackets with \((\tau,\sigma)\)-derivations and \((p,q)\)-deformations of Witt and Virasoro algebras. (English) Zbl 1404.17034 Forum Math. 28, No. 4, 657-673 (2016). MSC: 17B60 17B40 17A30 17A36 17B68 PDFBibTeX XMLCite \textit{O. Elchinger} et al., Forum Math. 28, No. 4, 657--673 (2016; Zbl 1404.17034) Full Text: DOI arXiv
Kitouni, Abdennour; Makhlouf, Abdenacer; Silvestrov, Sergei On \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras. (English) Zbl 1335.17003 Georgian Math. J. 23, No. 1, 75-95 (2016). MSC: 17A40 17A42 17B30 17B55 PDFBibTeX XMLCite \textit{A. Kitouni} et al., Georgian Math. J. 23, No. 1, 75--95 (2016; Zbl 1335.17003) Full Text: DOI arXiv
Hellström, Lars; Makhlouf, Abdenacer; Silvestrov, Sergei D. Universal algebra applied to Hom-associative algebras, and more. (English) Zbl 1347.17016 Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 157-199 (2014). MSC: 17B99 17A30 16E30 17B55 18D50 PDFBibTeX XMLCite \textit{L. Hellström} et al., Springer Proc. Math. Stat. 85, 157--199 (2014; Zbl 1347.17016) Full Text: DOI arXiv
Arnlind, Joakim; Kitouni, Abdennour; Makhlouf, Abdenacer; Silvestrov, Sergei Structure and cohomology of 3-Lie algebras induced by Lie algebras. (English) Zbl 1358.17004 Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 123-144 (2014). Reviewer: Olaf Ninnemann (Berlin) MSC: 17A42 17B56 17B60 PDFBibTeX XMLCite \textit{J. Arnlind} et al., Springer Proc. Math. Stat. 85, 123--144 (2014; Zbl 1358.17004) Full Text: DOI arXiv
Makhlouf, Abdenacer (ed.); Paal, Eugen (ed.); Silvestrov, Sergei D. (ed.); Stolin, Alexander (ed.) Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. (English) Zbl 1293.00030 Springer Proceedings in Mathematics & Statistics 85. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). xxvii, 684 p. (2014). MSC: 00B25 16-06 17-06 35-06 53-06 81-06 PDFBibTeX XMLCite \textit{A. Makhlouf} (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (2014; Zbl 1293.00030) Full Text: DOI arXiv
Arnlind, Joakim; Makhlouf, Abdenacer; Silvestrov, Sergei Construction of \(n\)-Lie algebras and \(n\)-ary Hom-Nambu-Lie algebras. (English) Zbl 1273.17005 J. Math. Phys. 52, No. 12, 123502, 13 p. (2011). MSC: 17A42 20N15 17B63 53D55 37E40 81S10 PDFBibTeX XMLCite \textit{J. Arnlind} et al., J. Math. Phys. 52, No. 12, 123502, 13 p. (2011; Zbl 1273.17005) Full Text: DOI arXiv
Arnlind, Joakim; Makhlouf, Abdenacer; Silvestrov, Sergei Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras. (English) Zbl 1310.17001 J. Math. Phys. 51, No. 4, 043515, 11 p. (2010). MSC: 17A42 17A40 17B63 17B37 PDFBibTeX XMLCite \textit{J. Arnlind} et al., J. Math. Phys. 51, No. 4, 043515, 11 p. (2010; Zbl 1310.17001) Full Text: DOI arXiv
Makhlouf, Abdenacer; Silvestrov, Sergei Hom-algebras and Hom-coalgebras. (English) Zbl 1259.16041 J. Algebra Appl. 9, No. 4, 553-589 (2010). MSC: 16T15 17A30 17B55 16S80 16E40 PDFBibTeX XMLCite \textit{A. Makhlouf} and \textit{S. Silvestrov}, J. Algebra Appl. 9, No. 4, 553--589 (2010; Zbl 1259.16041) Full Text: DOI arXiv
Makhlouf, Abdenacer; Silvestrov, Sergei Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras. (English) Zbl 1201.17012 Forum Math. 22, No. 4, 715-739 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B61 17B55 16S80 17B68 17B37 16E40 PDFBibTeX XMLCite \textit{A. Makhlouf} and \textit{S. Silvestrov}, Forum Math. 22, No. 4, 715--739 (2010; Zbl 1201.17012) Full Text: DOI arXiv
Ammar, F.; Makhlouf, Abdenacer; Silvestrov, S. Ternary \(q\)-Virasoro-Witt Hom-Nambu-Lie algebras. (English) Zbl 1192.81182 J. Phys. A, Math. Theor. 43, No. 26, Article ID 265204, 13 p. (2010). MSC: 17A40 81R10 17B37 17B68 PDFBibTeX XMLCite \textit{F. Ammar} et al., J. Phys. A, Math. Theor. 43, No. 26, Article ID 265204, 13 p. (2010; Zbl 1192.81182) Full Text: DOI arXiv
Ataguema, H.; Makhlouf, A.; Silvestrov, S. Generalization of \(n\)-ary Nambu algebras and beyond. (English) Zbl 1328.17004 J. Math. Phys. 50, No. 8, 083501, 15 p. (2009). MSC: 17A42 81R10 PDFBibTeX XMLCite \textit{H. Ataguema} et al., J. Math. Phys. 50, No. 8, 083501, 15 p. (2009; Zbl 1328.17004) Full Text: DOI arXiv
Makhlouf, Abdenacer; Silvestrov, Sergei Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras. (English) Zbl 1173.16019 Silvestrov, Sergeĭ (ed.) et al., Generalized Lie theory in mathematics, physics and beyond. Berlin: Springer (ISBN 978-3-540-85331-2/hbk). 189-206 (2009). Reviewer: Earl J. Taft (New Brunswick) MSC: 16W30 17B60 17A30 16W10 PDFBibTeX XMLCite \textit{A. Makhlouf} and \textit{S. Silvestrov}, in: Generalized Lie theory in mathematics, physics and beyond. Berlin: Springer. 189--206 (2009; Zbl 1173.16019) Full Text: DOI arXiv
Makhlouf, Abdenacer; Silvestrov, Sergei D. Hom-algebra structures. (English) Zbl 1184.17002 J. Gen. Lie Theory Appl. 2, No. 2, 51-64 (2008). MSC: 17A30 16Y99 17A32 PDFBibTeX XMLCite \textit{A. Makhlouf} and \textit{S. D. Silvestrov}, J. Gen. Lie Theory Appl. 2, No. 2, 51--64 (2008; Zbl 1184.17002) Full Text: DOI
Makhlouf, A.; Silvestrov, S. On Hom-algebra structures. arXiv:math/0609501 Preprint, arXiv:math/0609501 [math.RA] (2006). MSC: 17A30 16Y99 17A01 17A20 17D25 BibTeX Cite \textit{A. Makhlouf} and \textit{S. Silvestrov}, ``On Hom-algebra structures'', Preprint, arXiv:math/0609501 [math.RA] (2006) Full Text: arXiv