Dihedral invariants of relatively free metabelian algebras
Quaestiones Mathematicae, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.2989/16073606.2026.2728676
- Dergi Adı: Quaestiones Mathematicae
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Çukurova Üniversitesi Adresli: Evet
Özet
Let F be the free metabelian Leibniz algebra over (Figure presented.) with free generators x1 and x2; here metabelian means that the derived algebra [F, F] is abelian. We also consider the free metabelian bicommutative algebra M over (Figure presented.) with free generators x1 and x2. In the present study, we obtain a free generating set of [F, F]D2n as a (Figure presented.) module, where D2n is the dihedral group of order 2n. Next, we show that the algebra MD2n of D2n-invariants is three generated as a (Figure presented.) -module.