Definition:Ring (Abstract Algebra)/Product

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Let $\struct {R, *, \circ}$ be a ring.

The distributive operation $\circ$ in $\struct {R, *, \circ}$ is known as the (ring) product.

Also known as

Some sources call this multiplication, but on this website it is preferred that this word is kept to the conventional meaning as applied to multiplication of numbers.

In the context of the general ring the word product is mandatory, except in specific cases (for example, the case of matrix multiplication) where the term multiplication is established.