Title: Partitioning of an infinite set with a non surjective injective map and the study of a remarkable semi-group
Abstract:In this article, we will present a particularly remarkable partitioning method of any infinite set with the help of a non-surjective injective map to itself. All these maps constitute a semi-group for ...In this article, we will present a particularly remarkable partitioning method of any infinite set with the help of a non-surjective injective map to itself. All these maps constitute a semi-group for the law of composition bundled with certain properties allowing us to prove the existence of remarkable elements. Not to mention a compatible equivalence relation that allows transferring the said law to the quotient set which can be provided with a lattice structure. Finally, we will present the concept of Co-injectivity and some of its properties.Read More
Publication Year: 2020
Publication Date: 2020-04-16
Language: en
Type: article
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