Ivan Shishkin, Birch Grove

Maximal ideal

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7/21/2026, 7:45:36 PM · Ancient Tree

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1An [[Ideal|ideal]] $I$ of a commutative ring $A$ is maximal if...
1An [[Ideal|ideal]] $M$ of a [[Commutative ring|commutative ring]] $A$ is maximal if $M\neq A$ (it is [[Proper subset|proper]]) and there is no ideal $I$ of $A$ such that
2$$M \subsetneq I \subsetneq R.$$

Revision 333

7/8/2026, 8:43:25 AM · Ancient Tree

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1An [[Ideal|ideal]] $I$ of a commutative ring $A$ is maximal if...

Revision 329

7/8/2026, 8:16:32 AM · Ancient Tree

Concept created

An [[Ideal|ideal]] $I$ of a commutative ring $A$ is maximal if...