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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:The aim of this paper is to introduce the notion of Schreier internalcategories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them.
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Temel Bulgular & Veri:This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules.
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Sonuç & Katkı:Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Schreier Internal Category-Topological Crossed Semimodule
Abstract
The aim of this paper is to introduce the notion of Schreier internalcategories in the category of topological monoids and of topological crossed semimodules and to prove the categorical equivalence between them. This is the generalization of equivalence between the category of internal categories in the category of topological groups and the category of topological crossed modules. Moreover we obtained a Schreier internal category as a special sort of 2-category with one object in the category of topological monoids.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
TEMEL, S. (2016). TOPOLOGICAL CROSSED SEMIMODULES AND SCHREIER INTERNAL CATEGORIES IN THE CATEGORY OF TOPOLOGICAL MONOIDS. Gazi University Journal of Science, Cilt: 29 - Sayı: 4, 915–921. https://ajindex.com/articles/254586