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Original Articles

Arbitrary triple systems admitting a multiplicative basis

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Pages 1203-1210 | Received 03 Jun 2015, Published online: 07 Oct 2016

References

  • Abdesselam, B. (1997). The twisted Heisenberg algebra eh,w(H(4)). J. Math. Phys. 38(12):6045–6060.
  • Albeverio, S., Ayupov, S. A., Omirov, B. A., Turdibaev, R. M. (2009). Cartan subalgebras of Leibniz n-algebras. Commun. Algebra 37:2080–2096.
  • Balogh, Z. (2007). Further results on a filtered multiplicative basis of group algebras. Math. Commun. 12(2):229–238.
  • Bautista, R., Gabriel, P., Roiter, A. V., Salmeron, L. (1985). Representation-finite algebras and multiplicative basis. Invent. Math. 81:217–285.
  • Bovdi, V. (2000). On a filtered multiplicative basis of group algebras. Arch. Math. (Basel) 74(2):81–88.
  • Bovdi, V. (2003). On a filtered multiplicative bases of group algebras. II. Algebr. Represent. Theory 6(3):353–368.
  • Bovdi, V., Grishkov, A., Siciliano, S. (2011). Filtered multiplicative bases of restricted enveloping algebras. Algebr. Represent. Theory 14(4):601–608.
  • Bovdi, V., Grishkov, A., Siciliano, S. On filtered multiplicative bases of some associative algebras. Algebr. Represent. Theory. doi:10.1007/s10468-014-9494-7.
  • Calderón, A. J. (2008). On split Lie algebras with a symmetric root system. Proc. Indian Acad. Sci. (Math. Sci.) 118(3):351–356.
  • Calderón, A. J. (2009). On simple split Lie triple systems. Algbr. Represent. Theory 12:401–415.
  • Calderón, A. J. (2009). Integrable roots in split Lie triple systems. Acta Math. Sinica 25:1759–74.
  • Calderón, A. J. (2009). On split Lie triple systems. Proc. Indian. Acad. Sci. (Math. Sci.) 119(2):165–177.
  • Calderón, A. J. (2012). On graded associative algebras. Rep. Math. Phys. 69(1):75–86.
  • Calderón, A. J. (2012). On the structure of split non-commutative Poisson algebras. Lin. Multilin. Algebra 60(7):775–785.
  • Calderón, A. J., Forero, M. (2010). On split Lie triple systems II. Proc. Indian Acad. Sci. (Math. Sci.) 120(2):185–198.
  • Calderón, A. J., Forero, M. (2011). Split 3-Lie algebras. J. Math. Phys. 52:123503, 16 pp.
  • Calderón, A. J., Sánchez, J. M. (2012). Split Leibniz algebras. Lin. Algebra Appl. 436(6):1648–1660.
  • Calderón, A. J., Sánchez, J. M. (2012). On the structure of split Lie color algebras. Lin. Algebra Appl. 436(2):307–315.
  • de la Mora, C., Wojciechowski, P. J. (2006). Multiplicative bases in matrix algebras. Lin. Algebra Appl. 419(2–3): 287–298.
  • Jacobson, N. (1949). Lie and Jordan triple system. Am. J. Math. 71(1):149–170.
  • Kupisch, H., Waschbusch, J. (1984). On multiplicative basis in quasi-Frobenius algebras. Math. Z. 186:401–405.
  • Ren, B., Ji Meng, D. (2001). Some two steps nilpotent Lie algebras I. Lin. Algebra Appl. 338:77–98.
  • Roiter, A. V., Sergeichuk, V. V. (1995). Existence of a multiplicative basis for finitely spaced module over an aggregate. Ukr. Math. J. 46(5):604–617.
  • Schue, J. R. (1960). Hilbert space methods in the theory of Lie algebras. Trans. Am. Math. Soc. 95:69–80.
  • Stumme, N. (1999). The structure of locally finite split Lie algebras. J. Algebra 220:664–693.

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