Prove that a ring with unity R has a unique maximal left ideal M if and only if R\M is the set of all invertible elements in R
Prove that a ring with unity R has a unique maximal left ideal M if and only if R\M is the set of all invertible elements in R
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 27E: 27. If is a commutative ring with unity, prove that any maximal ideal of is also a prime...
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Prove that a ring with unity R has a unique maximal left ideal M if and only if R\M
is the set of all invertible elements in R
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