B. Tolue TOLUE, Gh. MOGHADDASİ, P. ZOLFAGHARİ

On the category of ultra-groups

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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:

Category, transversal, ultra-group,

PDF

___

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.