In this paper, we introduce the concept and representation of modified $\lambda $-
differential Lie triple systems. Next, we define the cohomology of modified $\lambda …

In this paper, we consider associative algebras equipped with derivations. Such a pair of an
associative algebra with a derivation is called an AssDer pair. Using the Hochschild …

In this paper, we consider Leibniz algebras with derivations. A pair consisting of a Leibniz
algebra and a distinguished derivation is called a LeibDer pair. We define a cohomology …

In this paper, we study 3-Lie algebras with derivations. We call the pair consisting of a 3-Lie
algebra and a distinguished derivation by the 3-LieDer pair. We define a cohomology theory …

This paper presents a cohomological study of modified Rota-Baxter associative algebras in
the presence of derivations. The Modified Rota-Baxter operator, which is a modified version …

Higher derivations on an associative algebra generalize higher-order derivatives. We call a
tuple consisting of an algebra and a higher derivation on it by an AssHDer pair. We define …

We construct explicit Drinfel'd twists for the Lie algebras of generalized Cartan type H in
characteristic 0 and also obtain the corresponding quantizations and their integral forms. By …

We construct explicit Drinfel'd twists for the generalized Cartan type S Lie algebras and
obtain the corresponding quantizations. By modular reduction and base changes, we obtain …