asked 45.5k views
3 votes
Localization Commutes with Homomorphism

A) True
B) False
C) Depends on the specific homomorphism
D) Only true for commutative rings

asked
User Memen
by
8.6k points

1 Answer

6 votes

Final answer:

The statement that Localization Commutes with Homomorphism is True.

Step-by-step explanation:

The statement that Localization Commutes with Homomorphism is True. In mathematics, localization is a process that constructs a new ring by including certain reciprocals of elements in the original ring. A homomorphism is a map between two algebraic structures, preserving their operations. The key property that localization commutes with homomorphism means that if we have a homomorphism between two rings, and localize both rings, then the homomorphism still holds after localization. This property holds for any type of ring, not just commutative rings.

answered
User Dellre
by
8.1k points
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