Specific verb to adjective stem り help

I've had this problem from a bit, and what makes it difficult to research is I don't quite know what to call it in the first place. I would love more grammar help on when verbs become an adjective. (Searching usually just gives me na and i adjectives)

Recently, reading NHK I came across

米の値段は去年12月から上がり続けていましたが、やっと少し下がりました。

And I can certainly understand it, prices continued to rise. I also know for things like: 走る -> to run, 走り -> a run

But in the above it's not that cut and dry, and I'd like to learn more abou that grammar principle. (For instance, what happens when a verb ends in す?) I don't want to get too ahead of myself and assume the wrong thing.

So if someone could tell me what the heck this point is called, and perhaps a nice resource on that grammar point it would be much appreciated.

Hopefully this helps some other person in the future struggling to even find the name of it!

by SuddenlyTheBatman

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