This article is cited in 5 papers

Algebras over operad of spheres

S. N. Tronin

Chair of Algebra and Mathematical Logics, Kazan State University, Kazan, Russia

Abstract: 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, rational equivalence, convexor, simplex, sphere.

UDC: 512

Received: 11.12.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:3, 63–71

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