On the Efficiency of the Direct Products of Monogenic Monoids

DOI10.1142/S1005386707000272zbMath1125.20043MaRDI QIDQ5297775

Colin M. Campbell, Hayrullah Ayık, J. J. O'Connor

Publication date: 13 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1402/S1005386707000272.html

zbMATH Keywords

efficiencydirect productsfinitely presented monoidsintegral homologyfinite monoid presentationsefficient monoidsmonoid deficiency

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (1)

A NEW EXAMPLE FOR MINIMALITY OF MONOIDS

Cites Work

• Word problems and a homological finiteness condition for monoids
• Comparing semigroup and monoid presentations for finite monoids
• Minimal but inefficient presentations of the semi-direct products of some monoids.
• THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS
• On the Left and Right Cohomological Dimension of Monoids
• Minimal Presentations and Embedding into Inefficient Semigroups

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