ON COFINITELY FLAT QUADRATIC OK-MODULES


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PEKİN A., Nebiyev C.

Miskolc Mathematical Notes, vol.25, no.1, pp.429-432, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.18514/mmn.2024.4461
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.429-432
  • Keywords: cofinitely flat module, finite quadratic modul, number field
  • Istanbul University Affiliated: Yes

Abstract

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.