A categorical contribution to the Kummer theory of ideal numbers

Ladislav Skula

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Displaying similar documents to “A categorical contribution to the Kummer theory of ideal numbers”

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Universal semigroups.

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Semigroups derived from (Γ,n)-semihypergroups and T-functor

S. Ostadhadi-Dehkordi (2015)

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The main purpose of this paper is to introduce the concept of (Γ,n)-semihypergroups as a generalization of hypergroups, as a generalization of n-ary hypergroups and obtain an exact covariant functor between the category (Γ,n)-semihypergrous and the category semigroups. Moreover, we introduce and study complete part. Finally, we obtain some new results and some fundamental theorems in this respect.

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In this paper the notion of a ternary semigroup of morphisms of objects in a category is introduced. The connection between an isomorphism of categories and an isomorphism of ternary semigroups of morphisms of suitable objects in these categories is considered. Finally, the results obtained for general categories are applied to the categories $𝐑𝐄𝐋 n + 1$ and $𝐀𝐋𝐆 n$ which were studied in [5].

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Displaying similar documents to “A categorical contribution to the Kummer theory of ideal numbers”

Semigroups and the structure of categories

Universal semigroups.

Semigroups derived from (Γ,n)-semihypergroups and T-functor

Ternary semigroups of morphisms of objects in categories

H-Coextensions in the category of compact semigroups.

Algebraic and categorical properties of r -ideal systems.

A generalization of right simple semigroups

Algebraic and categorical properties of $r$ -ideal systems.