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On the category of ultra-groups

Year 2017, Volume: 46 Issue: 3, 437 - 447, 01.06.2017

Abstract

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.

References

  • 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.
Year 2017, Volume: 46 Issue: 3, 437 - 447, 01.06.2017

Abstract

References

  • 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.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

B. Tolue This is me

Gh. Moghaddasi

P. Zolfaghari This is me

Publication Date June 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 3

Cite

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. June 2017;46(3):437-447.
Chicago Tolue, B., Gh. Moghaddasi, and P. Zolfaghari. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46, no. 3 (June 2017): 437-47.
EndNote Tolue B, Moghaddasi G, Zolfaghari P (June 1, 2017) On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics 46 3 437–447.
IEEE B. Tolue, G. Moghaddasi, and P. Zolfaghari, “On the category of ultra-groups”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, pp. 437–447, 2017.
ISNAD Tolue, B. et al. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46/3 (June 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. et al. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 3, 2017, pp. 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.