If you seriously study ordinal arithmetic you almost immediatly
arrive to natural operations.  Technically, natural operations allow
easy implementation and "ordered" operations require extra work
(using natural ones).

I am not criticising the implementation. Of course internally ordinary
polynomial addition and multiplication might be quite useful. I only
question the fact that you *export* these "natural" operations.

If you do not agree then define category for "near rings" and define
new domain uses SmallOrdinal as Rep and renames operations.

I've put that on my todo list.

Ralf

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