A (commutative, unital) ring is the 3-tuple \( (R, +, \cdot) \) such that \( (R, +) \) is an Abelian group, \( (R, \cdot) \) is a commutative monoid, and the two satisfy mutually distributive laws. An \( R \)-module is an Abelian group tied to a scalar multiplication ring \( R \), satisfying mutual distributivite laws and multiplicative compatibility.

The coursework followed up on the previous one .

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Coursework for the Abstract Algebra University of Portsmouth module.