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Multicategories and varieties of many-sorted algebras. (Russian, English) Zbl 1224.18004
Sib. Mat. Zh. 49, No. 5, 1185-1202 (2008); translation in Sib. Math. J. 49, No. 5, 944-958 (2008).
Summary: 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.

MSC:
18D50 Operads (MSC2010)
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