Let D be a noetherian integral domain. Show that D is a unique factor ization domain if and only if every irreducible in D is a prime.
Let D be a noetherian integral domain. Show that D is a unique factor ization domain if and only if every irreducible in D is a prime.
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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