Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras

In this paper, we introduce the notions of Hopf group braces, post-Hopf group algebras, and Rota–Baxter Hopf group algebras as important generalizations of Hopf braces, post-Hopf a...

A relative Rota–Baxter algebra is a triple (A, M, T) consisting of an algebra A, an A-bimodule M, and a relative Rota–Baxter operator T. Using Voronov’s derived bracket and a recen...

AbstractThe purpose of this paper is to develop a theory of bimonads and Hopf monads on arbitrary categories thus providing the possibility to transfer the essentials of the theory...

A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these ...

In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...

Given a (quasi-)twilled pre-Lie algebra, we first construct a differential graded Lie algebra ([Formula: see text]-algebra). Then we study the twisting theory of (quasi-)twilled pr...

This is the continuation of the study of differential graded (dg) vertex algebras defined in our previous paper [Caradot et al., “Differential graded vertex operator algebras and t...

In this paper, we introduce the concepts of a Rota-Baxter operator and differential operator with weights on an n-algebra. We then focus on Rota-Baxter 3-Lie algebras and show that...