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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 1

Pullback crossed modules in the category of racks

Kadir Emir
Hatice Gülsün Akay
Sayfa
—
Yayın Tarihi
2019-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows.
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Temel Bulgular & Veri:In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows.
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Sonuç & Katkı:Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:rack · crossed module · limit

Abstract

In this paper, we define the pullback crossed modules in the category of racks that are mainly based on a pullback diagram of rack morphisms with extra crossed module data on some of its arrows. Furthermore, we prove that the conjugation functor, which is defined between the category of crossed modules of groups and of racks, preserves the pullback crossed modules.

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Bu Makaleye Atıf Yap

Emir, K., Akay, H. G. (2019). Pullback crossed modules in the category of racks. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 1. https://ajindex.com/articles/1402838

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Kaynakça (12)

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