Equivalence between categories of supermodules
Ibnu Hadi(a*), Yudi Mahatma(a**)

a) Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta
Jalan Rawamangun Muka, Jakarta, 13220, Indonesia
*) ibnu_hadi[at]unj.ac.id
**) yudi_mahatma[at]unj.ac.id

Abstract

Let R be commutative algebra with unit element. Given any R-module U, there exists a category C_U whose objects are all pairs (N.M) where N is direct sum of U and M contains U. It has been shown that if W is a direct summand of U then there exists a functor from C_U to C_W . Further, W if and U are isomorphic then there exists category equivalence between C_U and C_W .

Keywords: category, functor, category equivalence

Topic: Mathematics