Sentence examples similar to a valid ring from inspiring English sources

The phrase "a valid ring" is correct and usable in written English.
It can be used in mathematical contexts, particularly in abstract algebra, to refer to a set equipped with two operations that satisfy certain properties.
Example: "In order to prove the theorem, we first need to establish that the set forms a valid ring under addition and multiplication."
Alternatives: "an acceptable ring" or "a legitimate ring".

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Depending on one's chosen taxonomic criteria, whether these candidate barriers affect taxa that presently constitute valid ring species or, more generally, ring distributed taxa in which terminal forms are above or below species-level divergence, is a question that can now be addressed.

A valid enough excuse.

That is a valid point.

Is that a valid argument?

It's a valid question.

I had a valid passport.

"A valid point," Alec said.

It's a valid point.

They make a valid point.

It is a valid concern.

He made a valid argument.

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