Embedding Countable Rings in 2-Generator Rings

DOI10.2307/2046112zbMath0622.16009OpenAlexW4252416784MaRDI QIDQ3758987

K. C. O'Meara

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2046112

zbMATH Keywords

countable semigroupfinite ringmultiplicative semigroupfinite semigroupcountable ring2-generator algebra2-generator finitely presented ring2-generator ring2-generator subsemigroupcountable-dimensional algebrarecursively enumerable set of defining relationsring embedding

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semigroup rings, multiplicative semigroups of rings (20M25) Centralizing and normalizing extensions (16S20)

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