Conditions for a universal mapping of algebras to be a monomorphism

DOI10.1090/S0002-9904-1974-13558-5zbMath0331.08004OpenAlexW2083120232MaRDI QIDQ4097348

John L. MacDonald

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1974-13558-5

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Universal enveloping (super)algebras (17B35) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Equational categories (18C05) Theories (e.g., algebraic theories), structure, and semantics (18C10) Embedding theorems, universal categories (18B15) Algebraic structures (08Axx)

Cites Work

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• The diamond lemma for ring theory
• On theories with a combinatorial definition of 'equivalence'
• Generalized Free Products with Amalgamated Subgroups
• Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law

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