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On the category of ultra-groups

Year 2017, Volume: 46 Issue: 3, 437 - 447, 01.06.2017
https://izlik.org/JA74PK32ZK

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
https://izlik.org/JA74PK32ZK

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 Research Article
Authors

B. Tolue This is me

Gh. Moghaddasi

P. Zolfaghari This is me

Publication Date June 1, 2017
IZ https://izlik.org/JA74PK32ZK
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. https://izlik.org/JA74PK32ZK
AMA 1.Tolue B, Moghaddasi G, Zolfaghari P. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics. 2017;46(3):437-447. https://izlik.org/JA74PK32ZK
Chicago Tolue, B., Gh. Moghaddasi, and P. Zolfaghari. 2017. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46 (3): 437-47. https://izlik.org/JA74PK32ZK.
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 [1]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, June 2017, [Online]. Available: https://izlik.org/JA74PK32ZK
ISNAD Tolue, B. - Moghaddasi, Gh. - Zolfaghari, P. “On the Category of Ultra-Groups”. Hacettepe Journal of Mathematics and Statistics 46/3 (June 1, 2017): 437-447. https://izlik.org/JA74PK32ZK.
JAMA 1.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, June 2017, pp. 437-4, https://izlik.org/JA74PK32ZK.
Vancouver 1.Tolue B, Moghaddasi G, Zolfaghari P. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 June 1;46(3):437-4. Available from: https://izlik.org/JA74PK32ZK