Find an example of a commutative ring ? that contains a subset, say ?, such that for every ? ∈ ? we have ?? ∈ ?, but ? is not an ideal of ?. Find an example of a commutative ring A that contains a subset, say S, such that forevery s E S we have as E S, but S is not an ideal of A.

We can find n commutative ring A such that A contains a subset S such that for every s in S we have…

Answered: Find an example of a commutative ring A…

Find an example of a commutative ring A that contains a subset, say S, such that for every s E S we have as E S, but S is not an ideal of A.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.4: Maximal Ideals (optional)

Problem 28E: If R is a finite commutative ring with unity, prove that every prime ideal of R is a maximal ideal...

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Question

Find an example of a commutative ring ? that contains a subset, say ?, such that for
every ? ∈ ? we have ?? ∈ ?, but ? is not an ideal of ?.

Find an example of a commutative ring A that contains a subset, say S, such that for
every s E S we have as E S, but S is not an ideal of A.

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