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Free profinite locally idempotent and locally commutative semigroups

✍ Scribed by José Carlos Costa


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
266 KB
Volume
163
Category
Article
ISSN
0022-4049

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✦ Synopsis


This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of ÿnite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the ÿrst in terms of inÿnite words, and the second in terms of inÿnite and bi-inÿnite words.We then derive some applications.


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