No. For instance in R, which is commutative, we have the ideals (2) and (4), where (4) is strictly contained in (2), which is not R. Therefore the ideal (4) is not a maximal ideal.
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wedderburn's little theorem says all finite division rings are commutative so they are fields. So if it is a finite division ring, then the answer is NO But for an infinite division ring... I think you can!
A field is a commutative ring in which all non zero elements have inverses or all the elements are units
correct.
A tree gets a new ring every year, so I suppose a tree ring equals one year.
they never meet again at the same time