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Structural similarity, semigroups and idempotents

✍ Scribed by John Paul Boyd

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
858 KB
Volume
5
Category
Article
ISSN
0378-8733

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πŸ“œ SIMILAR VOLUMES

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✍ T.E. Hall; M.V. Sapir πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 483 KB

If n is the number of nonidempotent elements of a finite semigroup S, it is shown that each sequence of length 2 n of elements of S contains a consecutive subsequence whose product is an idempotent element, and that 2 n is the best possible among all finite semigroups with n nonidempotent elements.

Free profinite locally idempotent and lo
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This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of ΓΏnite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the ΓΏrst in terms of inΓΏnite word

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✍ V.F. Sirvent πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 258 KB

Using the numeration system associated to the substitution 1 --\* 12, 2 --, 31, 3 ---\* i, we define a binary operation, which generates a semigroup on a subset of N. This semigroup represents the self-similar structure defined by an Iterated Function System (IFS) on the dynamical system associated