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A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS

Yıl 2013, Cilt: 1 Sayı: 2, 91 - 95, 01.12.2013

Öz

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

Kaynakça

  • 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
Yıl 2013, Cilt: 1 Sayı: 2, 91 - 95, 01.12.2013

Öz

Kaynakça

  • 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
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Ahmet F. Aslan Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2013
Gönderilme Tarihi 4 Nisan 2015
Yayımlandığı Sayı Yıl 2013 Cilt: 1 Sayı: 2

Kaynak Göster

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. Ekim 2013;1(2):91-95.
Chicago Aslan, Ahmet F. “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”. Konuralp Journal of Mathematics 1, sy. 2 (Ekim 2013): 91-95.
EndNote Aslan AF (01 Ekim 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., c. 1, sy. 2, ss. 91–95, 2013.
ISNAD Aslan, Ahmet F. “A NOTE ON CROSSED MODULES OF LEIBNIZ ALGEBRAS”. Konuralp Journal of Mathematics 1/2 (Ekim 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, c. 1, sy. 2, 2013, ss. 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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