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RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS

Yıl 2016, Cilt: 4 Sayı: 1, 282 - 290, 01.04.2016

Öz

In this work, we explored the categorical relationships between crossed modules, 2-and 3- crossed modules of groupoids

Kaynakça

  • [1] Arvasi, Z., Ulualan, E., On Algebraic Models for Homotopy 3-Types, Journal of Homotopy and Related Structures, vol. 1(1),2006,pp 1-27.
  • [2] Arvasi, Z., Kuzpinari, T.S., Uslu, E.O., 3-crossed modules, Homology Homotopy and Applications, 11, 2, 161- 187, (2009).
  • [3] Brown, R., Possible connections between whiskered categories and groupoids leibniz algebras automorphism structure and local-to-global questions, Journal of Homotopy and Related Structures, 5, 1, 308-318, (2010).
  • [4] Brown, R., From groups to groupoids, Bull. London Math Soc., 19, 1, 113-134, (1987).
  • [5] Brown, R., Gilbert, N.D., Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math Soc., 3, 51-73,(1989).
  • [6] Brown, R., Higgins, P.J., On the algebra of cubes, Journal of Pure and Applied Algebra, 21, 233-260,(1981).
  • [7] Brown, R., Spencer, C.B., G-groupoids, crossed modules and fundamental groupoid of a topological group, Proc. Konink. Neder. Akad. Van Wetenschappen Amsterdam, 79, 4,(1976).
  • [8] Conduche, D., Modules croises generalises de longuer 2, Journal of Pure and Applied Algebra, 34, 155-178, (1984).
  • [9] Loday, J.L., Spaces with nitely many non-trival homotopy groups, Journal of Pure and Applied Algebra, 24, 179-202, (1982).
  • [10] Ulualan, E., Pak, S., Braiding for internal categories in the category of whiskered groupoids and simplicial groups, Turk J Math ,37 , 145-164,(2013).
  • [11] Whitehead, J.H.C., Combinatorial homotopy II, Bull. Amer. Math. Soc., 55, 453-496, (1949).
Yıl 2016, Cilt: 4 Sayı: 1, 282 - 290, 01.04.2016

Öz

Kaynakça

  • [1] Arvasi, Z., Ulualan, E., On Algebraic Models for Homotopy 3-Types, Journal of Homotopy and Related Structures, vol. 1(1),2006,pp 1-27.
  • [2] Arvasi, Z., Kuzpinari, T.S., Uslu, E.O., 3-crossed modules, Homology Homotopy and Applications, 11, 2, 161- 187, (2009).
  • [3] Brown, R., Possible connections between whiskered categories and groupoids leibniz algebras automorphism structure and local-to-global questions, Journal of Homotopy and Related Structures, 5, 1, 308-318, (2010).
  • [4] Brown, R., From groups to groupoids, Bull. London Math Soc., 19, 1, 113-134, (1987).
  • [5] Brown, R., Gilbert, N.D., Algebraic models of 3-types and automorphism structures for crossed modules, Proc. London Math Soc., 3, 51-73,(1989).
  • [6] Brown, R., Higgins, P.J., On the algebra of cubes, Journal of Pure and Applied Algebra, 21, 233-260,(1981).
  • [7] Brown, R., Spencer, C.B., G-groupoids, crossed modules and fundamental groupoid of a topological group, Proc. Konink. Neder. Akad. Van Wetenschappen Amsterdam, 79, 4,(1976).
  • [8] Conduche, D., Modules croises generalises de longuer 2, Journal of Pure and Applied Algebra, 34, 155-178, (1984).
  • [9] Loday, J.L., Spaces with nitely many non-trival homotopy groups, Journal of Pure and Applied Algebra, 24, 179-202, (1982).
  • [10] Ulualan, E., Pak, S., Braiding for internal categories in the category of whiskered groupoids and simplicial groups, Turk J Math ,37 , 145-164,(2013).
  • [11] Whitehead, J.H.C., Combinatorial homotopy II, Bull. Amer. Math. Soc., 55, 453-496, (1949).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
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Çağri Ataseven Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2016
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 1

Kaynak Göster

APA Ataseven, Ç. (2016). RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp Journal of Mathematics, 4(1), 282-290.
AMA Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. Nisan 2016;4(1):282-290.
Chicago Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics 4, sy. 1 (Nisan 2016): 282-90.
EndNote Ataseven Ç (01 Nisan 2016) RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp Journal of Mathematics 4 1 282–290.
IEEE Ç. Ataseven, “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”, Konuralp J. Math., c. 4, sy. 1, ss. 282–290, 2016.
ISNAD Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics 4/1 (Nisan 2016), 282-290.
JAMA Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. 2016;4:282–290.
MLA Ataseven, Çağri. “RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS”. Konuralp Journal of Mathematics, c. 4, sy. 1, 2016, ss. 282-90.
Vancouver Ataseven Ç. RELATIONS AMONG HIGHER ORDER CROSSED MODULES OVER GROUPOIDS. Konuralp J. Math. 2016;4(1):282-90.
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