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QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS

Cilt: 5 Sayı: 2 31 Temmuz 2022
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QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS

Öz

In this work we illustrade that the forgetful functor mapping a quadratic module of Lie algebra to a nil(2)-module of Lie algebra is a fibration.

Anahtar Kelimeler

Kaynakça

  1. [1] J.H.C. Whitehead, Combinatorial Homotopy II , Bull. Amer. Math. Soc. 55, 453496, 1949.
  2. [2] D.M. Kan, A combinatorial definition of homotopy groups , Annals of Maths. 61, 288312, 1958.
  3. [3] D. Conduch, Modules croiss gnraliss de longueur 2, J. Pure and Applied Algebra , 34,(1984), 155-178.
  4. [4] G.J.Ellis,Homotopical aspects of Lie algebras, J. Austral. Math. Soc. (Series A),54, (1993), 393-419.
  5. [5] A. Grothendieck, Catgories cobress additives et complexe cotangent relatif. In: Lecture Notes in Mathematics, vol. 79. Springer, Berlin (1968).
  6. [6] D. Guin-Walery and J-L. Loday, Obsructiona l'excision en K-theorie algebrique, in: Algebraic K-Theory (Evanston 1980). Lecture Notes in Math. (1981), 179-216 (1981).
  7. [7] H.J. Baues, Combinatorial homotopy and 4-dimensional complexes, Walter de Gruyter, 15, 1991.
  8. [8] I. Aka and Z. Arvasi, Simplicial and crossed Lie algebras, Homology, Homotopy andApplications, Vol. 4 No.(1), (2002) ,43-57.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2022

Gönderilme Tarihi

17 Mart 2022

Kabul Tarihi

21 Temmuz 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Taşbozan, H., & Güzelkokar, A. (2022). QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. Journal of Universal Mathematics, 5(2), 68-75. https://doi.org/10.33773/jum.1089354
AMA
1.Taşbozan H, Güzelkokar A. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 2022;5(2):68-75. doi:10.33773/jum.1089354
Chicago
Taşbozan, Hatice, ve Aydın Güzelkokar. 2022. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics 5 (2): 68-75. https://doi.org/10.33773/jum.1089354.
EndNote
Taşbozan H, Güzelkokar A (01 Temmuz 2022) QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. Journal of Universal Mathematics 5 2 68–75.
IEEE
[1]H. Taşbozan ve A. Güzelkokar, “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”, JUM, c. 5, sy 2, ss. 68–75, Tem. 2022, doi: 10.33773/jum.1089354.
ISNAD
Taşbozan, Hatice - Güzelkokar, Aydın. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics 5/2 (01 Temmuz 2022): 68-75. https://doi.org/10.33773/jum.1089354.
JAMA
1.Taşbozan H, Güzelkokar A. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 2022;5:68–75.
MLA
Taşbozan, Hatice, ve Aydın Güzelkokar. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics, c. 5, sy 2, Temmuz 2022, ss. 68-75, doi:10.33773/jum.1089354.
Vancouver
1.Hatice Taşbozan, Aydın Güzelkokar. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 01 Temmuz 2022;5(2):68-75. doi:10.33773/jum.1089354