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A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS

Year 2013, Volume: 1 Issue: 2, 91 - 95, 01.12.2013

Abstract

In this paper we give the relation between precrossed modules andcrossed modules of Leibniz algebras. Also construct the coproduct object inthe category of crossed L-modules on Leibniz algebras

References

  • Baues, H.J., Combinatorial homotophy and 4-dimensional complexes, Walter de Gruyter, 15, 380 p., (2000).
  • Casas, J.M., Invariantes de m´odulos cruzados en ´algebras de Lie, Ph. D. Thesis, Universi- dade de Santiago de Compostela ( Spain ). (1991).
  • Casas, J.M., Khmaladze, E., Ladra, M., Crossed modules for Leibniz n-algebras, Forum Mathematicum., 20, 841-858. (2008).
  • Kassel, c., Loday, J.L., Extensions centrales d’alg´ebres de Lie, Ann. Ins. Fourier (greno- ble), 33, 119-142. (1982).
  • Loday, J.L., Cyclic Homology, Springer-Verlag, (1992), Second Edition (1998).
  • Loday, J.L., ‘Un version non commutative des alg´ebres de Lie: les alg´ebres de Leibniz ’, Enseign. Math. , 39 , 269-293 , (1992).
  • Porter, T., Homology of commutative algebras and an invariant of Simis and Vas- conceles, J.Algebra., 99, 2. (1987).
  • Shammu, N.M.,Algebraic and an Categorical Structure of Category of Crossed Modules of Algebras, Ph. D. Thesis, U.C.N.W. (1992).
  • Whitehead, J.H.C., Combinatorial Homotophy II, Bull. Amer. Math. Soc., 55, 453-496. (1949).
  • Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey
  • E-mail address: afaslan@ogu.edu.tr
Year 2013, Volume: 1 Issue: 2, 91 - 95, 01.12.2013

Abstract

References

  • Baues, H.J., Combinatorial homotophy and 4-dimensional complexes, Walter de Gruyter, 15, 380 p., (2000).
  • Casas, J.M., Invariantes de m´odulos cruzados en ´algebras de Lie, Ph. D. Thesis, Universi- dade de Santiago de Compostela ( Spain ). (1991).
  • Casas, J.M., Khmaladze, E., Ladra, M., Crossed modules for Leibniz n-algebras, Forum Mathematicum., 20, 841-858. (2008).
  • Kassel, c., Loday, J.L., Extensions centrales d’alg´ebres de Lie, Ann. Ins. Fourier (greno- ble), 33, 119-142. (1982).
  • Loday, J.L., Cyclic Homology, Springer-Verlag, (1992), Second Edition (1998).
  • Loday, J.L., ‘Un version non commutative des alg´ebres de Lie: les alg´ebres de Leibniz ’, Enseign. Math. , 39 , 269-293 , (1992).
  • Porter, T., Homology of commutative algebras and an invariant of Simis and Vas- conceles, J.Algebra., 99, 2. (1987).
  • Shammu, N.M.,Algebraic and an Categorical Structure of Category of Crossed Modules of Algebras, Ph. D. Thesis, U.C.N.W. (1992).
  • Whitehead, J.H.C., Combinatorial Homotophy II, Bull. Amer. Math. Soc., 55, 453-496. (1949).
  • Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey
  • E-mail address: afaslan@ogu.edu.tr
There are 11 citations in total.

Details

Journal Section Articles
Authors

Ahmet F. Aslan This is me

Publication Date December 1, 2013
Submission Date April 4, 2015
Published in Issue Year 2013 Volume: 1 Issue: 2

Cite

APA Aslan, A. F. (2013). A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS. Konuralp Journal of Mathematics, 1(2), 91-95.
AMA Aslan AF. A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS. Konuralp J. Math. October 2013;1(2):91-95.
Chicago Aslan, Ahmet F. “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”. Konuralp Journal of Mathematics 1, no. 2 (October 2013): 91-95.
EndNote Aslan AF (October 1, 2013) A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS. Konuralp Journal of Mathematics 1 2 91–95.
IEEE A. F. Aslan, “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”, Konuralp J. Math., vol. 1, no. 2, pp. 91–95, 2013.
ISNAD Aslan, Ahmet F. “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”. Konuralp Journal of Mathematics 1/2 (October 2013), 91-95.
JAMA Aslan AF. A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS. Konuralp J. Math. 2013;1:91–95.
MLA Aslan, Ahmet F. “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”. Konuralp Journal of Mathematics, vol. 1, no. 2, 2013, pp. 91-95.
Vancouver Aslan AF. A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS. Konuralp J. Math. 2013;1(2):91-5.
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