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Year 2014, Volume: 2 Issue: 1, 7 - 11, 01.06.2014

Ahmet Faruk Aslan

Abstract

References

  • Curtis, E.B., Simplicial homotophy theory, Adv. in Math., 6, 107-209, (1971).
  • Hartwig, J.T., Larson, P.D., Silvestrov, S.D., Deformations of Lie algebras using σ- derivations, Journal of Algebra, 295, 314-361, (2006).
  • Kassel, c., Loday, J.L., Extensions centrales d’alg´ebres de Lie, Ann. Ins. Fourier (greno- ble), 33, 119-142. (1982).
  • Makhlouf, A., Silvestrov, S.D., Hom-algebra Structures, J. Gen. Lie Theory Appl., 2, 51-64, (2008).
  • Porter, T., Homology of commutative algebras and an invariant of Simis and Vas- conceles, J.Algebra., 99, 2. (1987).
  • Sheng, Y., Chen, D., Hom-Lie 2-algebras, Journal of Algebra, 376, 174-195, (2013).
  • Whitehead, J.H.C. , Combinatorial Group Theory II, American Math. Soc. , (1949).
  • Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey E-mail address: afaslan@ogu.edu.tr

SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA

Year 2014, Volume: 2 Issue: 1, 7 - 11, 01.06.2014

Ahmet Faruk Aslan

Abstract

We introduce the simplicial Hom-Lie algebras and determine theirrelations among crossed modules of Hom-Lie algebras

Keywords

Simplicial object Crossed module Hom-Lie algebras

References

  • Curtis, E.B., Simplicial homotophy theory, Adv. in Math., 6, 107-209, (1971).
  • Hartwig, J.T., Larson, P.D., Silvestrov, S.D., Deformations of Lie algebras using σ- derivations, Journal of Algebra, 295, 314-361, (2006).
  • Kassel, c., Loday, J.L., Extensions centrales d’alg´ebres de Lie, Ann. Ins. Fourier (greno- ble), 33, 119-142. (1982).
  • Makhlouf, A., Silvestrov, S.D., Hom-algebra Structures, J. Gen. Lie Theory Appl., 2, 51-64, (2008).
  • Porter, T., Homology of commutative algebras and an invariant of Simis and Vas- conceles, J.Algebra., 99, 2. (1987).
  • Sheng, Y., Chen, D., Hom-Lie 2-algebras, Journal of Algebra, 376, 174-195, (2013).
  • Whitehead, J.H.C. , Combinatorial Group Theory II, American Math. Soc. , (1949).
  • Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey E-mail address: afaslan@ogu.edu.tr
There are 8 citations in total.

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Journal Section Articles
Authors

Ahmet Faruk Aslan This is me

Publication Date June 1, 2014
Submission Date April 4, 2015
Published in Issue Year 2014 Volume: 2 Issue: 1

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APA Aslan, A. F. (2014). SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA. Konuralp Journal of Mathematics, 2(1), 7-11.
AMA Aslan AF. SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA. Konuralp J. Math. April 2014;2(1):7-11.
Chicago Aslan, Ahmet Faruk. “SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA”. Konuralp Journal of Mathematics 2, no. 1 (April 2014): 7-11.
EndNote Aslan AF (April 1, 2014) SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA. Konuralp Journal of Mathematics 2 1 7–11.
IEEE A. F. Aslan, “SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA”, Konuralp J. Math., vol. 2, no. 1, pp. 7–11, 2014.
ISNAD Aslan, Ahmet Faruk. “SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA”. Konuralp Journal of Mathematics 2/1 (April 2014), 7-11.
JAMA Aslan AF. SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA. Konuralp J. Math. 2014;2:7–11.
MLA Aslan, Ahmet Faruk. “SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA”. Konuralp Journal of Mathematics, vol. 2, no. 1, 2014, pp. 7-11.
Vancouver Aslan AF. SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA. Konuralp J. Math. 2014;2(1):7-11.
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