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On semigroups whose idempotent-generated subsemigroup is aperiodic

Title
On semigroups whose idempotent-generated subsemigroup is aperiodic
Type
Article in International Scientific Journal
Year
2004
Authors
delgado, m
(Author)
FCUP
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fernandes, vh
(Author)
Other
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margolis, s
(Author)
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steinberg, b
(Author)
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Journal
Vol. 14 No. 5-6
Pages: 655-665
ISSN: 0218-1967
Publisher: World Scientific
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-000-7GJ
Abstract (EN): We show that if S is a finite semigroup with aperiodic idempotent-generated subsemi-group and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products.
Language: English
Type (Professor's evaluation): Scientific
Contact: mdelgado@fc.up.pt; vhf@fct.unl.pt; stwm@math.huji.ac.il; bsteinbg@math.carleton.ca
No. of pages: 11
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