Coherency for monoids and purity for their acts

DOI10.1016/j.aim.2023.109182zbMath1521.20139arXiv2209.01915MaRDI QIDQ6175951

Yang Dandan, Victoria Gould

Publication date: 25 July 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01915

zbMATH Keywords

injectivitymonoidspurityequationscoherency\(S\)-acts

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Representation of semigroups; actions of semigroups on sets (20M30) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• The characterisation of monoids by properties of their S-systems
• Model-companions and definability in existentially complete structures
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Semigroups with finitely generated universal left congruence
• One variable equations over groups
• IFP-Flat Modules andIFP-Injective Modules
• Free Monoids are Coherent
• Direct Products of Modules
• Principally Weakly and Weakly Coherent Monoids
• MODEL COMPANIONS OF S-SYSTEMS
• Coherency and Constructions for Monoids
• Coherency, free inverse monoids and related free algebras
• The Injective Envelope of S-Sets
• One variable equations over semigroups
• Coherent Rings and Fp -Injective Modules
• Absolutely Pure Modules
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