05- The distinct residue classes comprising F[x]/f) can now be deseribed explicitly; namely, ups they are exactly the residue classes r + (f)J where r runs through all polynomials in F[x] with deg(r) < deg) on to

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 3E: 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of...
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5- The distinct residue classes comprising F[x]/f) can now be deseribed explicitly; namely,
ups
5 they are exactly the residue classes r + ())where r runs through all polynomials in F[x] with
deg(r) < deg).
on to
Transcribed Image Text:5- The distinct residue classes comprising F[x]/f) can now be deseribed explicitly; namely, ups 5 they are exactly the residue classes r + ())where r runs through all polynomials in F[x] with deg(r) < deg). on to
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