A note on the Jacobson radical $J(\mathbb F_{2^n}D_{2m})$
UDC 512.5 The dimension of the Jacobson radical $J(\mathbb F_{2^n}D_{2m})$ and the algebraic structure of $\dfrac{\mathbb F_{2^n} D_{{2^{k}} {3}}} {J(\mathbb F_{2^n}D_{2^{k} {3}})}$ are determined. Here, $D_{2m}$ represents the dihedral group of order $2m,$ $\mathbb F_{2^n}$ represents any finite fi...
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| Datum: | 2024 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7623 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.5
The dimension of the Jacobson radical $J(\mathbb F_{2^n}D_{2m})$ and the algebraic structure of $\dfrac{\mathbb F_{2^n} D_{{2^{k}} {3}}} {J(\mathbb F_{2^n}D_{2^{k} {3}})}$ are determined. Here, $D_{2m}$ represents the dihedral group of order $2m,$ $\mathbb F_{2^n}$ represents any finite field of characteristic $2$, and $F_{2^n}D_{2m}$ represents the group algebra of the group $D_{2m}$ over the field $\mathbb F_{2^n}.$ |
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| DOI: | 10.3842/umzh.v76i8.7623 |