Cat::Ring

Category of rings

Description

Cat::Ring represents the category of rings.

A Cat::Ring is a ring with a unit dom::one, i.e., an Abelian group according to the operation + (_plus) and a non-Abelian monoid according to the operation * (_mult) where in addition the two distributive laws a (b + c) = ab + ac and (a + b) c = ac + bc hold.

A Cat::Ring is also a left module over itself. The left multiplication of the module is also written as * (_mult).

Note that a ring without unit is a Cat::Rng.

Entries

"characteristic"

Must hold the characteristic of this ring.

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