Answer to Question #70739 in Abstract Algebra for Pkm

Abstract Algebra

Question #70739

If a ring has a unit, then it has only one unit. Is this statement true or false ,justify your answer.

Expert's answer

Statement is true.
Let the ring have two units 1 and 1', then 1=1*1'=1' => 1=1'

Learn more about our help with Assignments: Abstract Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. If σ ∈ Sn (n ≥ 3 ) is a product of an even number of disjoint cycles, then sign (σ) = 1. Is th
2. If R is a ring and I is an ideal of R , then xr = rx ∀ x ∈ I and r ∈ R . Is this statement tru
3. Every element of Sn has order at most n . Is this statement true or false, justify your answer.
4. If G is a group and H∆G , then | G : H |= 2 . Is this statement true or false, justify your answer
5. If G is an abelian group, then G is cyclic. Is this statement true or false . Also justify your answ
6. If G1 and G2 are groups, and f : G1→G2 is a group homomorphism, then o(G1) = o( G2). Is the sta
7. show that the Galois groups of x^4 -1 and x^2 - x +1 over Q are isomorphic