On a class of residuated semilattice monoids
β Scribed by P. Flondor; M. Sularia
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 353 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper, we consider the structure of residuated join semilattice monoid and we study its ΓΏrst properties. The class of residuated join semilattice monoids is a variety of algebras. A representation of this structure as residuated mappings is given. Then we present the notion of normal ΓΏlter together with a characterization theorem of homomorphic images based on this notion. Di erent classes of residuated join semilattice monoids are introduced.
π SIMILAR VOLUMES
The first part of this paper investigates a class of homogeneously presented monoids. Constructions which enable division and multiplication to be computed are described. The word problem and the division problem are solved, and a unique normal form is given for monoids in this class. The second par