Weakly Isotone and Strongly Reverse Isotone Mappings of Relational Systems
نویسنده
چکیده
The setting of this article is Classical algebra and Bishop’s constructive algebra (the algebra based on the Intuitionistic logic). The Esakia’s concept in the classical mathematics of strongly isotone mapping between ordered sets is extended onto two different concepts of mappings: on the concept of weakly isotone and the concept of strongly reverse isotone mapping of relational systems. Some characterizations of those mappings are given and some application of those mappings in ordered semigroup theory are given.
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