On the category of ultra-groups
Year 2017,
Volume: 46 Issue: 3, 437 - 447, 01.06.2017
B. Tolue
Gh. Moghaddasi
,
P. Zolfaghari
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.
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Year 2017,
Volume: 46 Issue: 3, 437 - 447, 01.06.2017
B. Tolue
Gh. Moghaddasi
,
P. Zolfaghari
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.