Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions
We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (1982, J. Number Theory 15, 388-405) characterizing separable simple radical field extensions with the unique subfield property, and prove that these extensions are precisely the simple G--Cogalois extensions with a cyclic Kneser group.
Anahtar Kelimeler:
Field extension, separable extension, simple extension, radical extension, G--Cogalois extension, unique subfield property, classical Kummer extension.
Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions
We present a short proof, based on Cogalois Theory, of a result due to Acosta de Orozco and Vélez (1982, J. Number Theory 15, 388-405) characterizing separable simple radical field extensions with the unique subfield property, and prove that these extensions are precisely the simple G--Cogalois extensions with a cyclic Kneser group.
Keywords:
Field extension, separable extension, simple extension, radical extension, G--Cogalois extension, unique subfield property, classical Kummer extension.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Mehmet BAYRAMOĞLU, Kevser Özden KÖKLÜ, Oya BAYKAL
KO-groups of Bounded Flag Manifolds
Field Extensions Having the Unique Subfield Property, and G-Cogalois Extensions
Numerical Solution and Convergence Speed of Variational Formulation for Linear Schrödinger Equation
Solving fuzzy linear programming problems with linear membership functions
Rafail N. GASIMOV, Kürşat YENİLMEZ
Solving Fuzzy Linear Programming Problems with Linear Membership Function