Open AccessEquivalence between categories of supermodules
Author(s) -
Ibnu Hadi,
Yudi Mahatma
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1869/1/012145
Subject(s) - functor , mathematics , equivalence (formal languages) , existential quantification , equivalence of categories , commutative property , unit (ring theory) , combinatorics , derived category , pure mathematics , discrete mathematics , mathematics education
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, if W and U are isomorphic then there exists category equivalence between C U and C W .