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PNP

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The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids. left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved. Necessary and sufficient conditions are found for a left cancellative k-translatable groupoid to be a semigroup. https://foldlyers.shop/product-category/pnp/
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