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Monoids Respectingn-Chains of Intervals

✍ Scribed by Jorge Almeida; Peter M. Higgins

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 219 KB
Volume: 187
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.6783

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✦ Synopsis

A new strict hierarchy for the pseudovariety of aperiodic monoids is described. The nth level of the hierarchy is the pseudovariety of all divisors of monoids of full transformations of finite chains respecting some n-chain of inter¨als. The levels can be obtained by iterated semidirect product of the first level. The associated hierarchy corresponding to taking partial transformations is also considered and appears intermingled with the above hierarchy.

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