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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

Actor of a crossed module of dialgebras via tetramultipliers

José Manuel Casas
R. Fernández-Casado
Xabier García Martínez
Emzar Khmaladze
Sayfa
1063–1078
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we check that under the aforementioned circumstances, the center coincides with the kernel of the canonical map from a crossed module to its actor.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We study the representability of actions in the category of crossed modules of dialgebras via tetramultipliers.
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Temel Bulgular & Veri:We deduce a pair of dialgebras in order to construct an object which, under certain circumstances, is the actor (also known as the split extension classifier).
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Sonuç & Katkı:Finally, we check that under the aforementioned circumstances, the center coincides with the kernel of the canonical map from a crossed module to its actor.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Dialgebra · crossed module · tetramultiplier

Abstract

We study the representability of actions in the category of crossed modules of dialgebras via tetramultipliers. We deduce a pair of dialgebras in order to construct an object which, under certain circumstances, is the actor (also known as the split extension classifier). Moreover, we give give a full description of actions in terms of equations. Finally, we check that under the aforementioned circumstances, the center coincides with the kernel of the canonical map from a crossed module to its actor.

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Bu Makaleye Atıf Yap

Casas, J. M., Fernández-Casado, R., Martínez, X. G., Khmaladze, E. (2022). Actor of a crossed module of dialgebras via tetramultipliers. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 1063–1078. https://ajindex.com/articles/529446

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