23 citations · 220 across the 53 of their papers we have counts for
5 papers · 2 filters
The universality of one half in commutative nonassociative algebras with identities
Vladimir G. Tkachev
In this paper we will explain an interesting phenomenon which occurs in general nonassociative algebras. More precisely, we establish that any finite-dimensional commutative nonass…
Idempotent geometry in generic algebras
Yakov Krasnov, Vladimir G. Tkachev
Using the syzygy method, established in our earlier paper, we characterize the combinatorial stratification of the variety of two-dimensional real generic algebras. We show that th…
On an extremal property of Jordan algebras of Clifford type
Vladimir G. Tkachev
If is a finite-dimensional unital commutative (maybe nonassociative) algebra carrying an associative positive definite bilinear form then there exist a nonzero idempotent $c\ne…
A correction of the decomposability result in a paper by Meyer-Neutsch
Vladimir G. Tkachev
In this short note, it is shown that there is a gap in the proof of Theorem 11 in the paper of Meyer and Neutsch (J. of Algebra, 1993). We prove, nevertheless, that the statement o…
Variety of idempotents in nonassociative algebras
Yakov Krasnov, Vladimir G. Tkachev
In this paper, we study the variety of all nonassociative (NA) algebras from the idempotent point of view. We are interested, in particular, in the spectral properties of idempoten…