23 citations · 220 across the 53 of their papers we have counts for
55 papers
On the Peirce spectral rigidity of decorated incidence algebras
Daniel J. F. Fox, Vladimir G. Tkachev
The multiplication operator of an idempotent in a metrized commutative nonassociative algebra is a self-adjoint linear endomorphism whose spectrum reflects the algebraic and geomet…
Commutative algebras satisfying univariate identities with vanishing Peirce polynomial
Daniel J. F. Fox, Vladimir G. Tkachev
We introduce and study -palintropic algebras, a class of commutative algebras defined by the identity . This specific relation is the simplest gen…
Algebraic constructions of cubic minimal cones
Daniel J. F. Fox, Vladimir G. Tkachev
Hsiang algebras are a class of nonassociative algebra defined in terms of a relation quartic in elements of the algebra. This class arises naturally in relation to the construction…
Inner isotopes associated with automorphisms of commutative associative algebras
Vladimir G. Tkachev
The principal observation of the present paper is that an inner isotopy (i.e. a principal isotopy defined by an algebra endomorphism) is a very helpful instrument in constructing a…
Medial and isospectral algebras
Yakov Krasnov, Vladimir Tkachev
The purpose of this paper is to give a systematic study of two new classes of commutative nonassociative algebras, the so-called isospectral and medial algebras. An isospectral alg…
Effect of density dependence on coinfection dynamics: part 2
J. Andersson, S. Ghersheen, V. Kozlov +2
In this paper we continue the stability analysis of the model for coinfection with density dependent susceptible population introduced in the 1st part of the paper. We look for coe…