Recognizable formal series on trees and cofree coalgebraic systems

DOI10.1006/JABR.1998.7752zbMath0933.16040OpenAlexW2014888672MaRDI QIDQ1295934

Richard E. Block, Gary Griffing

Publication date: 5 October 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7752

zbMATH Keywords

languagesrecognizable tree seriescofree coalgebrasrecognizable trees

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Algebraic theory of languages and automata (68Q70)

Related Items (3)

Unnamed Item ⋮ Fibonacci-like growth of numerical semigroups of a given genus. ⋮ Proper/residually-finite idempotent semirings.

Cites Work

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• Constructions effectives sur les séries formelles d'arbres. (Effective constructions on formal tree series)
• Invariant radical splittings: a Hopf approach
• Generalized dual coalgebras of algebras, with applications to cofree coalgebras
• The rank of a formal tree power series
• Effective construction of the syntactic algebra of a recognizable series on trees
• Commutative Hopf algebras, Lie coalgebras, and divided powers
• A nonisomorphism theorem for cofree Lie coalgebras
• Lie coalgebras
• Recognizable formal power series on trees
• Koszul duality for operads
• Représentations matricielles des séries d'arbre reconnaissables
• The cofree nonassociative coalgebra
• LINEAR Ω-ALGEBRAS
• Nonassociative coalgebras
• Cofree coalgebras

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