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math.RA2026
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…
math.RA2024
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…
math.RA2024
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…