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.
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...
Related questions
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6123250-2495-4b23-8e76-446da0bbacf3%2F25a85fa0-6fc3-4ff8-ae82-da4cf16e3a58%2Fhkoia3g_processed.png&w=3840&q=75)
Transcribed Image Text: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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elements Of Modern Algebra](https://www.bartleby.com/isbn_cover_images/9781285463230/9781285463230_smallCoverImage.gif)
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
![Elements Of Modern Algebra](https://www.bartleby.com/isbn_cover_images/9781285463230/9781285463230_smallCoverImage.gif)
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,