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Another proof that \(ISP_ r(K)\) is the least quasivariety containing K - MaRDI portal

Another proof that \(ISP_ r(K)\) is the least quasivariety containing K (Q795076)

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scientific article; zbMATH DE number 3861232
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Another proof that \(ISP_ r(K)\) is the least quasivariety containing K
scientific article; zbMATH DE number 3861232

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    Another proof that \(ISP_ r(K)\) is the least quasivariety containing K (English)
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    1982
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    It is well-known that if q(K) denotes the least quasi-variety containing a given class of similar algebras then \(q(K)=ISP_ r(K)\quad or\quad q(K)=ISPP_ U(K).\) The former result was proved by Mal'cev in 1966, the latter by Grätzer and Lasker in 1973. The authors give a new proof of these results with a method borrowed from propositional logic.
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    structure of quasivarieties
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