One forms is a module over , therefore does that make an algebra or a commutative ring?
Answer & Explanation
Beginner2022-06-21Added 22 answers
If is a commutative ring, we say that a commutative ring equipped with a ring homomorphism is an "algebra" over , or just an -algebra for brevity. Thus, there is no inconsistency in saying that is both a commutative ring, and an R-algebra (where denotes the ring of real numbers, and the homomorphism sends a real number to the constant function defined by for all ).
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