ON COFINITELY FLAT QUADRATIC OK-MODULES

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PEKİN A., Nebiyev C.

Miskolc Mathematical Notes, cilt.25, sa.1, ss.429-432, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4461
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.429-432
  • Anahtar Kelimeler: cofinitely flat module, finite quadratic modul, number field
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we considered quadratic OK-modules over the number fields and we defined the new concepts ”cofinitely quadratic OK-module” and ”cofinitely flat quadratic OKmodule” for the integral ring OK of the quadratic number fields. We described tensor product for these modules, and we extended them to the cofinitely quadratic OK-modules. Finally we provided a main theorem by using these definitions.