A group is an algebraic system with one binary operation. A ring or field is an algebraic system with two binary operations, multiplication and addition, with some constraints between them. A module over a ring is a generalization of a vector space over a field.

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Rings and Fields

  • Shuichi Yukita

摘要

A group is an algebraic system with one binary operation. A ring or field is an algebraic system with two binary operations, multiplication and addition, with some constraints between them. A module over a ring is a generalization of a vector space over a field.