Szukana fraza: [Abstract = We investigated Q\-independent subsets for some specified families Q of mappings \(e.g. M, S, M, S, S 0 , A 1 , G, I \) in Stone algebras, using the triple representation of Stone algebras. Next, some of these results were generalized for algebras which have a retraction in their set of term operations. We characterized also the families of Q\-independence sets in distributive lattices and semillattices for Q= S, S 0 , G and I. A special class of groupoids with involution, the so\-called \* \-associative groupoids, was introduced. We gave the description of term operations in these algebras and investigated their Q\-independent subsets.]

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