Geodesic
Algebras over operad of spheres
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 72-81

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We study an operad whose components are multidimensional spheres. We give a description (up to the rational equivalence) of the variety of algebras over this operad in terms of symbols of operations and identities.
Keywords: operad, algebra, variety, sphere.
Mots-clés : rational equivalence, convexor, simplex 
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     author = {S. N. Tronin},
     title = {Algebras over operad of spheres},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {72--81},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_3_a8/}
}
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S. N. Tronin. Algebras over operad of spheres. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 72-81. http://geodesic.mathdoc.fr/item/IVM_2010_3_a8/