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 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...

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...

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...

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...

A dendriform algebra defined by Loday has two binary operations that give a two-part splitting of the associativity in the sense that their sum is associative. Similar dendriform t...

Abstract The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic...