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Localization Commutes with Homomorphism

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

User Memen
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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.

User Dellre
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