Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota–Baxter algebras

DOI10.1142/S0219498820501728zbMath1459.18002arXiv2002.04466WikidataQ114614580 ScholiaQ114614580MaRDI QIDQ5132353

Li Guo, Shilong Zhang, William F. Keigher

Publication date: 10 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04466

zbMATH Keywords

differential algebramonaddistributive lawRota-Baxter algebraextension of operatorscover of operators

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Differential algebra (12H05) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Connections of Hopf algebras with combinatorics (16T30)

Related Items (1)

Representations and cohomologies of relative Rota-Baxter Lie algebras and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integro-differential algebras.
• Free integro-differential algebras and Gröbner-Shirshov bases.
• Picard-Vessiot and categorically normal extensions in differential-difference Galois theory
• An analytic problem whose solution follows from a simple algebraic identity
• Monads and distributive laws for Rota-Baxter and differential algebras
• Weighted tensor products of Joyal species, graphs, and charades
• Solving and factoring boundary problems for linear ordinary differential equations in differential algebras
• Renormalization of multiple zeta values
• Operated semigroups, Motzkin paths and rooted trees
• Extensions of operators, liftings of monads, and distributive laws
• Baxter algebras and shuffle products
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• On free Baxter algebras: Completions and the internal construction
• On differential Rota-Baxter algebras.
• On the structure of free Baxter algebras
• On the ring of hurwitz series
• Integral categories and calculus categories
• A unified algebraic approach to the classical Yang–Baxter equation
• Baxter algebras and combinatorial identities. I

This page was built for publication: Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota–Baxter algebras