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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Group-2-groupoids and 2G-crossed modules

Sedat Temel
Nazmiye Alemdar
Sayfa
1388–1397
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then we prove that the category Gp2Gd of group-2-groupoids and the category 2GXMod of 2G-crossed modules are equivalent.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce the notion of a group-2-groupoid as a group object in the category of 2-groupoids.
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Temel Bulgular & Veri:We also obtain a 2G-crossed module by using the structure of a group-2-groupoid.
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Sonuç & Katkı:Then we prove that the category Gp2Gd of group-2-groupoids and the category 2GXMod of 2G-crossed modules are equivalent.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:group-2-groupoid · 2G-crossed module

Abstract

In this paper, we introduce the notion of a group-2-groupoid as a group object in the category of 2-groupoids. We also obtain a 2G-crossed module by using the structure of a group-2-groupoid. Then we prove that the category Gp2Gd of group-2-groupoids and the category 2GXMod of 2G-crossed modules are equivalent.

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Bu Makaleye Atıf Yap

Temel, S., Alemdar, N. (2022). Group-2-groupoids and 2G-crossed modules. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1388–1397. https://ajindex.com/articles/530135

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Kaynakça (17)

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