- #1

annoymage

- 362

- 0

## Homework Statement

Let R be a commutative ring, [itex]c \in R[/itex], M is ideal in R

prove that [itex]J=\left\{rm+c\ |\ m \in M \ and\ r \in R \right\}[/itex] is ideal in R

## Homework Equations

n/a

## The Attempt at a Solution

for non-emptiness is easy

so i want to show any x=rm+c, y=r'm'+c

x-y=rm-r'm'-c+c is in J clue please T_T