Multicategories and varieties of many-sorted algebras |
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Authors: | S. N. Tronin |
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Affiliation: | (1) Kazan State University, Kazan, Russia |
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Abstract: | We give a direct proof of the fact that every variety of many-sorted universal algebras is rationally equivalent to a variety of algebras over some FSet-multicategory (a many-sorted analog of FSet-operads). The construction of this multicategory is straightforward and uses the free algebras of the given variety. |
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Keywords: | many-sorted algebra multicategory free algebra variety rational equivalence |
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