On relatively elementary definability of graph classes in the class of semigroups

DOI10.1007/S00012-022-00780-7OpenAlexW4283582789MaRDI QIDQ2153925

Yanyan Li

Publication date: 13 July 2022

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

Full work available at URL: https://doi.org/10.1007/s00012-022-00780-7

zbMATH Keywords

graphsemigroupendomorphism

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Automorphisms and endomorphisms of algebraic structures (08A35) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Representation of semigroups; actions of semigroups on sets (20M30)

Cites Work

• Semigroups of mappings on graphs
• On concrete characterization problem of endomorphism semigroups of graphs
• Relations (graphs) with given finitely generated semigroups
• Topics in universal algebra
• Elementary properties of semigroups of transformations of ordered sets
• Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups
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