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Pseudovarieties, regular semigroups, and semidirect products


Auinger, K and Trotter, PG, Pseudovarieties, regular semigroups, and semidirect products, Journal of the London Mathematical Society, 58, (2) pp. 271-283. ISSN 0024-6107 (1998) [Refereed Article]

DOI: doi:10.1112/S0024610798006589


We compare the classical semidirect product V * W of pseudovarieties of semigroups with the recently found ' regular' semidirect product Mathematical script capital V * e Script W sign of e-pseudovarieties of regular semigroups. Applications of our findings include a substantial class of additions to the list of pseudovarieties generated by classes of regular semigroups and for which the membership problem is solved. For example, we compute the pseudovarieties generated by all locally inverse and locally orthodox semigroups, respectively, thereby answering a question raised by Almeida and Kaďourek.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Auinger, K (Associate Professor Karl Auinger)
UTAS Author:Trotter, PG (Dr Peter Trotter)
ID Code:14635
Year Published:1998
Web of Science® Times Cited:5
Deposited By:Mathematics
Deposited On:1998-08-01
Last Modified:2011-08-09

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