##plugins.themes.academic_pro.article.main##
Abstract
In this paper we discuss some analytical aspects of categories. Here we see that if F : C→ D is a covariant functor then image of F will not form a subcategory of D. We provide an example to show it. Also we try to find some results of the category of rings ( Ring), the category of sets (Set), the category of groups (Gp) and category of topological spaces ( Top). We define some functors between categories and discuss their properties.
Key words: Category, functor, morphism, monomorphism, epimorphism,bimorphism, isomorphism , balanced, normalcategory##plugins.themes.academic_pro.article.details##
How to Cite
Barman, D. (2015). Some Analytical Aspects of Categories. International Journal of Emerging Trends in Science and Technology, 2(04). Retrieved from http://igmpublication.org/ijetst.in/index.php/ijetst/article/view/601
References
1. Anderson,Frank W.& Fuller,Kent R., Rings and Categories of Modules, Springer- Verlag New York berlin Heidelberg London paris Tokyo Hong Kong Barcelona Budapast.
2. Mac Lane, S.,1971: Categories for the Working Mathematician, Springer-Verlag New York Berlin
3. Mitchel, Barry.1965: Theory of Categories, Academic Press New York and London.
4. Krishnan,V.S.,1981: An introduction to Category Theory, North Holland New York Oxford.
5. Schubert, Horst,1972: Categories, Springer-Verlag Berlin Heidelberg New York.
6. Popescu,N.,1973: Abelian Categories with Applications to Rings and Modules, Academic Press, London & New York.
7. Awodey, Steve.,2006: Category Theory, Second Edition,Clarendon Press,Oxford.
8. Borceux, Francis.,1994: Hand Book of Categorical Algebra, Cambridge Univer-sity Press
9. Simmons, Harold.,2011:An Introduction to Category Theory ,Cambridge University Press.
10. Freyd, P.,1965: Abelian Categories, An Introduction totheTheory of Functors, A Harper International Edition, 0 jointly published by Harper & Row, NewYork, Evaston & London and JOHN WEATHERHILL INC. TOKYO.
11. Pareigis,Bodo.,1970:Categories and Functors, Academic Press New York, London.
2. Mac Lane, S.,1971: Categories for the Working Mathematician, Springer-Verlag New York Berlin
3. Mitchel, Barry.1965: Theory of Categories, Academic Press New York and London.
4. Krishnan,V.S.,1981: An introduction to Category Theory, North Holland New York Oxford.
5. Schubert, Horst,1972: Categories, Springer-Verlag Berlin Heidelberg New York.
6. Popescu,N.,1973: Abelian Categories with Applications to Rings and Modules, Academic Press, London & New York.
7. Awodey, Steve.,2006: Category Theory, Second Edition,Clarendon Press,Oxford.
8. Borceux, Francis.,1994: Hand Book of Categorical Algebra, Cambridge Univer-sity Press
9. Simmons, Harold.,2011:An Introduction to Category Theory ,Cambridge University Press.
10. Freyd, P.,1965: Abelian Categories, An Introduction totheTheory of Functors, A Harper International Edition, 0 jointly published by Harper & Row, NewYork, Evaston & London and JOHN WEATHERHILL INC. TOKYO.
11. Pareigis,Bodo.,1970:Categories and Functors, Academic Press New York, London.