Let A be a finite-dimensional k-algebra and K/k finite separable field extension. We prove that is derived equivalent to hereditary algebra if only so ⊗kK.

We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable. Conversely we present an example of a nilpotent 2-step solvable Lie algebra without any Novikov structure. We construct Novikov structures on certain Lie algebras via classical r-matrices and via extensions. In the latter case we lift No...