product ring

名词 n.

英文释义

名词 n.
  1. A ring that is the direct product of rings.
    — For instance, let X be an infinite set, R the product ring K^(XY)#92;#33;, and A the set of homomorphisms R#92;rightarrowK given by evaluation at all the elements of X. Then the hypothesis of the Lemma holds, but #92;text#123;Int#125;#95;A(R) is the product ring k^(XY)#92;#33;, which is not in general free as a k-module.

词形变化

product rings plural
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