# Ideals and Factor Rings

Problem:

Note: | | is trying to denote a matrix

If R =

|S S|

|0 S|

and A =

|0 S|

|0 0|

, S and ring, show that A is an ideal of R and describe the cosets in R/A

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:23 pm ad1c9bdddfhttps://brainmass.com/math/ring-theory/ideals-factor-rings-17279

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#### Solution Summary

A matrix proof is offered involving rings.

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