scientific article; zbMATH DE number 7696788
From MaRDI portal
Publication:6162643
DOI10.11845/sxjz.2021003azbMath1524.16086arXiv2108.11823MaRDI QIDQ6162643
Publication date: 15 June 2023
Full work available at URL: https://arxiv.org/abs/2108.11823
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
rewriting systemsoperadsGröbner-Shirshov basisdifferential type operatorsRota-Baxter type operatorsRota's program on algebraic operatorsoperated associative algebrasoperated Lie algebras
Permutations, words, matrices (05A05) Associative rings and algebras with additional structure (16W99) Gröbner-Shirshov bases (16Z10)
Related Items (3)
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects ⋮ Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases ⋮ Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rota's classification problem, rewriting systems and Gröbner-Shirshov bases
- Generalized Lax pairs, the modified classical Yang-Baxter equation, and affine geometry of Lie groups
- An analytic problem whose solution follows from a simple algebraic identity
- Six problems of Gian-Carlo Rota in lattice theory and universal algebra
- Averaging algebras, Schröder numbers, rooted trees and operads
- Gröbner-Shirshov bases for Lie algebras: after A. I. Shirshov
- Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
- Twisting on associative algebras and Rota-Baxter type operators.
- Operated semigroups, Motzkin paths and rooted trees
- Hopf algebras, renormalization and noncommutative geometry
- Galois theory of difference equations
- Algebraic renormalisation of regularity structures
- Differential type operators and Gröbner-Shirshov bases.
- Integration and geometrization of Rota-Baxter Lie algebras
- Reynolds algebras and their free objects from bracketed words and rooted trees
- An algebraic study of Volterra integral equations and their operator linearity
- Modified Rota-Baxter algebras, shuffle products and Hopf algebras
- Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras
- Free Rota-Baxter family algebras and (tri)dendriform family algebras
- On differential Rota-Baxter algebras.
- Baxter algebras and combinatorial identities. II
- What a Classical r-Matrix Really Is
- Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras
- Free modified Rota-Baxter algebras and Hopf algebras
- Term Rewriting and All That
- Some Algorithmic Problems for Lie Algebras
- On the Classification of Operator Identities
- ON THE FINITE HILBERT TRANSFORMATION
This page was built for publication:
