Generators and relations of direct products of semigroups

DOI10.1090/S0002-9947-98-02074-1zbMath0934.20038OpenAlexW2119954155MaRDI QIDQ4211069

James Wiegold, Nikola Ruškuc, Edmund F. Robertson

Publication date: 10 September 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02074-1

zbMATH Keywords

direct productsfinitely generated semigroupsfinitely presented semigroupsfinite presentationsstable semigroupsfull generating sets

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05)

Related Items (23)

ON FINITE GENERATION AND OTHER FINITENESS CONDITIONS FOR WREATH PRODUCTS OF SEMIGROUPS ⋮ FINITE PRESENTABILITY OF SEMIGROUP CONSTRUCTIONS ⋮ Markov semigroups, monoids and groups ⋮ Finiteness properties of direct products of algebraic structures ⋮ On finite generation and presentability of Schützenberger products ⋮ On the growth of generating sets for direct powers of semigroups. ⋮ Presentations for wreath products involving symmetric inverse monoids and categories ⋮ Product decompositions of semigroups induced by action pairs ⋮ A note on automatic semigroups. ⋮ GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS ⋮ Automatic structures for semigroup constructions. ⋮ Local finiteness for Green’s relations in semigroup varieties ⋮ Bruck-Reilly extensions of direct products of monoids and completely (0-)simple semigroups. ⋮ On finiteness conditions for Rees matrix semigroups ⋮ PRESENTATIONS FOR SEMIGROUPS AND SEMIGROUPOIDS ⋮ Right noetherian semigroups ⋮ ON GENERATORS AND PRESENTATIONS OF SEMIDIRECT PRODUCTS IN INVERSE SEMIGROUPS ⋮ Generating subdirect products ⋮ DECISION PROBLEMS FOR FINITELY PRESENTED AND ONE-RELATION SEMIGROUPS AND MONOIDS ⋮ Automaton semigroups ⋮ Generators and relations of Rees matrix semigroups ⋮ Automatic semigroups ⋮ Presentations for \(\mathbb{P}^K\)

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• Some Remarks on Semigroup Presentations
• THE EULERIAN FUNCTIONS OF A GROUP
• A practical method for enumerating cosets of a finite abstract group

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