24.2 Conventions
In this chapter we hold on to the convention that ring means commutative ring with 1. If R is a ring, then an R-algebra A will be an R-module A endowed with an R-bilinear map A \times A \to A (multiplication) such that multiplication is associative and has an identity. In other words, these are unital associative R-algebras such that the structure map R \to A maps into the center of A.
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