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Limit the number for each Token (AssetName) within one Currency Symbol (Policy ID)

is there any way to limit number for each tokens within one minting policy, in Plutus validator?

For example for policy ab12 I want to allow users minting tokens, in different transactions. Сan the validator reject minting if the user try to mint the Token ab12.A_1 but the token with name 'A_1' has already been minted (i.e. max number is 1)? It is assumed that the number in the name means the maximum possible number of tokens with this name. The names of the tokens are not known in advance, i.e. unfortunately it is impossible to determine the list of tokens and send it in datum or something like that. But I hope that maybe there is another way?