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On the category of ultra-groups

Yıl 2017, Cilt: 46 Sayı: 3, 437 - 447, 01.06.2017

Öz

This article has been prepared based on a new concept of an ultra-group $_HM$ which is depend on a group $G$ and its subgroup $H$. Our aim is to introduce the category of ultra-groups and investigate about some properties of this category.

Kaynakça

  • Borceux F., Hand book Of Categorical Algebra 1 Basic category Theory, Cambridge univer- sity, 1994.
  • Burris S., Sankapanavar H.P., A course in universal algebra, Springer, 1981.
  • Hungerford, T. W. Algebra, Springer, New York, 1974.
  • Kilp M., Knauer U. and Mikhalev A. Monoids, acts and categories, Walter de Gruyter, Berlin, New York 2000.
  • Knighten R.L., Notes on Category Theory, November 9, 2007.
  • Kurosh A. G., The theory of groups, American Mathematical Society, 1960.
  • Moghaddasi Gh., Tolue B. and Zolfaghari P., On the structure of the ultra-groups over a nite group, U.P.B. Sci. Bull. 2, 173-184, 2016.
  • Rotman J., An introduction to the theory of groups, Fourth edition. Graduate Texts in Mathematics 148, Springer-Verlag, New York, 1995.
  • Turi D. Category Theory Lecture Notes Laboratory for Foundations of Computer Science University of Edinburgh September 1996.
Yıl 2017, Cilt: 46 Sayı: 3, 437 - 447, 01.06.2017

Öz

Kaynakça

  • Borceux F., Hand book Of Categorical Algebra 1 Basic category Theory, Cambridge univer- sity, 1994.
  • Burris S., Sankapanavar H.P., A course in universal algebra, Springer, 1981.
  • Hungerford, T. W. Algebra, Springer, New York, 1974.
  • Kilp M., Knauer U. and Mikhalev A. Monoids, acts and categories, Walter de Gruyter, Berlin, New York 2000.
  • Knighten R.L., Notes on Category Theory, November 9, 2007.
  • Kurosh A. G., The theory of groups, American Mathematical Society, 1960.
  • Moghaddasi Gh., Tolue B. and Zolfaghari P., On the structure of the ultra-groups over a nite group, U.P.B. Sci. Bull. 2, 173-184, 2016.
  • Rotman J., An introduction to the theory of groups, Fourth edition. Graduate Texts in Mathematics 148, Springer-Verlag, New York, 1995.
  • Turi D. Category Theory Lecture Notes Laboratory for Foundations of Computer Science University of Edinburgh September 1996.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

B. Tolue Bu kişi benim

Gh. Moghaddasi

P. Zolfaghari Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 3

Kaynak Göster

APA Tolue, B., Moghaddasi, G., & Zolfaghari, P. (2017). On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics, 46(3), 437-447.
AMA Tolue B, Moghaddasi G, Zolfaghari P. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics. Haziran 2017;46(3):437-447.
Chicago Tolue, B., Gh. Moghaddasi, ve P. Zolfaghari. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46, sy. 3 (Haziran 2017): 437-47.
EndNote Tolue B, Moghaddasi G, Zolfaghari P (01 Haziran 2017) On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics 46 3 437–447.
IEEE B. Tolue, G. Moghaddasi, ve P. Zolfaghari, “On the category of ultra-groups”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 3, ss. 437–447, 2017.
ISNAD Tolue, B. vd. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46/3 (Haziran 2017), 437-447.
JAMA Tolue B, Moghaddasi G, Zolfaghari P. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics. 2017;46:437–447.
MLA Tolue, B. vd. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 3, 2017, ss. 437-4.
Vancouver Tolue B, Moghaddasi G, Zolfaghari P. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics. 2017;46(3):437-4.