Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 3 Sayı: 2, 9 - 16, 10.10.2021

Öz

Kaynakça

  • Akca,_I. and Arvasi, Z. Simplicial and Crossed Lie Algebras, homology, Homotopy and Applications, 4 (2002), 43-57.
  • Gerstenhaber, M. On the deformation of Rings and Algebras, Ann. math, no. 84, (1966), 16.
  • Kassel, C. and Loday, J. L. Extensions centrales d'algbres de Lie Ann. Inst. Fourier, Grenoble (1982), 32: 119-142.
  • Lavendhomme, R. and Roisin, J.R. Cohomologie non abelienne de structures alge- briques, J.Algebra 99 (2), (1980), 385-414.
  • Lichtenbaum, S. and Schlessingger, M. The contangent complex of a morphism, Trans. American Society, no. 18, (1967), pp. 41-70.
  • Mosseri, R. and Dandolo , R. Geometry of entangled states, Bloch spheres and Hopf brations., J. Phys. A, 34 (2001), 10243-10252.
  • Porter, T., Homology of Commutative Algebras and an Invariant of Simis and Vas- conceles, J.Algebra 99, (1986), 458-465.
  • Porter, T., Crossed modules and internal categories of groups with operations, Proc. Edinburgh Math. Soc., (2) 30, (1987), no:3, 373-381.
  • Samelson, H., Notes on Lie Algebra, University of Crete Department of Mathematics, 165 (1969), 1-3.
  • Shammu, N.M., Algebraic and Categorical Structure of Category of Crossed Modules of Algebras, Ph.D, U C N W., (1992).
  • Whitehead, J.H.C., Combinatorial Homotopy II , Bull.American Math. Society, 55 (1949), 453-456.

XModLie Fibred Over Lie Algebras

Yıl 2021, Cilt: 3 Sayı: 2, 9 - 16, 10.10.2021

Öz

In this work, we showed that the category of crossed modules over Lie algebras is fibred over the category of Lie algebras by illustrating that the forgetful functor is a fibration.

Kaynakça

  • Akca,_I. and Arvasi, Z. Simplicial and Crossed Lie Algebras, homology, Homotopy and Applications, 4 (2002), 43-57.
  • Gerstenhaber, M. On the deformation of Rings and Algebras, Ann. math, no. 84, (1966), 16.
  • Kassel, C. and Loday, J. L. Extensions centrales d'algbres de Lie Ann. Inst. Fourier, Grenoble (1982), 32: 119-142.
  • Lavendhomme, R. and Roisin, J.R. Cohomologie non abelienne de structures alge- briques, J.Algebra 99 (2), (1980), 385-414.
  • Lichtenbaum, S. and Schlessingger, M. The contangent complex of a morphism, Trans. American Society, no. 18, (1967), pp. 41-70.
  • Mosseri, R. and Dandolo , R. Geometry of entangled states, Bloch spheres and Hopf brations., J. Phys. A, 34 (2001), 10243-10252.
  • Porter, T., Homology of Commutative Algebras and an Invariant of Simis and Vas- conceles, J.Algebra 99, (1986), 458-465.
  • Porter, T., Crossed modules and internal categories of groups with operations, Proc. Edinburgh Math. Soc., (2) 30, (1987), no:3, 373-381.
  • Samelson, H., Notes on Lie Algebra, University of Crete Department of Mathematics, 165 (1969), 1-3.
  • Shammu, N.M., Algebraic and Categorical Structure of Category of Crossed Modules of Algebras, Ph.D, U C N W., (1992).
  • Whitehead, J.H.C., Combinatorial Homotopy II , Bull.American Math. Society, 55 (1949), 453-456.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Koray Yılmaz

Elis Soylu Yılmaz

Aydın Güzelkokar

Yayımlanma Tarihi 10 Ekim 2021
Kabul Tarihi 11 Ekim 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 3 Sayı: 2

Kaynak Göster

APA Yılmaz, K., Soylu Yılmaz, E., & Güzelkokar, A. (2021). XModLie Fibred Over Lie Algebras. Ikonion Journal of Mathematics, 3(2), 9-16. https://doi.org/10.54286/ikjm.983165
AMA Yılmaz K, Soylu Yılmaz E, Güzelkokar A. XModLie Fibred Over Lie Algebras. ikjm. Ekim 2021;3(2):9-16. doi:10.54286/ikjm.983165
Chicago Yılmaz, Koray, Elis Soylu Yılmaz, ve Aydın Güzelkokar. “XModLie Fibred Over Lie Algebras”. Ikonion Journal of Mathematics 3, sy. 2 (Ekim 2021): 9-16. https://doi.org/10.54286/ikjm.983165.
EndNote Yılmaz K, Soylu Yılmaz E, Güzelkokar A (01 Ekim 2021) XModLie Fibred Over Lie Algebras. Ikonion Journal of Mathematics 3 2 9–16.
IEEE K. Yılmaz, E. Soylu Yılmaz, ve A. Güzelkokar, “XModLie Fibred Over Lie Algebras”, ikjm, c. 3, sy. 2, ss. 9–16, 2021, doi: 10.54286/ikjm.983165.
ISNAD Yılmaz, Koray vd. “XModLie Fibred Over Lie Algebras”. Ikonion Journal of Mathematics 3/2 (Ekim 2021), 9-16. https://doi.org/10.54286/ikjm.983165.
JAMA Yılmaz K, Soylu Yılmaz E, Güzelkokar A. XModLie Fibred Over Lie Algebras. ikjm. 2021;3:9–16.
MLA Yılmaz, Koray vd. “XModLie Fibred Over Lie Algebras”. Ikonion Journal of Mathematics, c. 3, sy. 2, 2021, ss. 9-16, doi:10.54286/ikjm.983165.
Vancouver Yılmaz K, Soylu Yılmaz E, Güzelkokar A. XModLie Fibred Over Lie Algebras. ikjm. 2021;3(2):9-16.