Research Article

On the category of ultra-groups

Volume: 46 Number: 3 June 1, 2017
EN

On the category of ultra-groups

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.

Keywords

References

  1. Borceux F., Hand book Of Categorical Algebra 1 Basic category Theory, Cambridge univer- sity, 1994.
  2. Burris S., Sankapanavar H.P., A course in universal algebra, Springer, 1981.
  3. Hungerford, T. W. Algebra, Springer, New York, 1974.
  4. Kilp M., Knauer U. and Mikhalev A. Monoids, acts and categories, Walter de Gruyter, Berlin, New York 2000.
  5. Knighten R.L., Notes on Category Theory, November 9, 2007.
  6. Kurosh A. G., The theory of groups, American Mathematical Society, 1960.
  7. 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.
  8. Rotman J., An introduction to the theory of groups, Fourth edition. Graduate Texts in Mathematics 148, Springer-Verlag, New York, 1995.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

B. Tolue * This is me

P. Zolfaghari This is me

Publication Date

June 1, 2017

Submission Date

April 12, 2016

Acceptance Date

July 25, 2016

Published in Issue

Year 2017 Volume: 46 Number: 3

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.B. Tolue, Gh. Moghaddasi, P. Zolfaghari. On the category of ultra-groups. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Jun. 1;46(3):437-4. Available from: https://izlik.org/JA74PK32ZK