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.
📜 SIMILAR VOLUMES
We produce several characterization theorems on fuzzy neighborhood groups, rings and commutative division rings. Introducing local boundedness in fuzzy neighborhood rings, we discuss minimal elements in the set of fuzzy neighborhood systems compatible with ring and commutative division ring structur