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Abstract clones and operads are the various bijections, the variety of W-operads is rationally equivalent to the variety of operads

Algebras over operad of spheres to the rational equivalence) of the variety of algebras over this operad in terms of symbols of operations

On one class of commutative operads describe the varieties of universal algebras rational equivalent to the varieties of algebras over

Multicategories and varieties of many-sorted algebras is rationally equivalent to a variety of algebras over some FSet-multicategory (a many-sorted analog of FSet

Algebras over operad of spheres to the rational equivalence) of the variety of algebras over this operad in terms of symbols of operations

On one class of commutative operads describe the varieties of universal algebras rational equivalent to the varieties of algebras over

On one class of commutative operads describe the varieties of universal algebras rational equivalent to the varieties of algebras over

Rational homotopy theory of spaces 1-connected by shapeA rational shape type and a strong rational shape type are defined for the class of spaces 1

Abstract clones and operads are the various bijections, the variety of W-operads is rationally equivalent to the variety of operads

Operads and varieties of algebras defined by polylinear identities are rationally equivalent. We introduce the class of operads (which we call commutative for definiteness

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