Gorenstein n-weak injective and Gorenstein n-weak flat modules under excellent extensions
عنوان مقاله: Gorenstein n-weak injective and Gorenstein n-weak flat modules under excellent extensions
شناسه ملی مقاله: JR_KJMMRC-12-2_025
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_KJMMRC-12-2_025
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Mostafa Amini - Department of Mathematics, Faculty of Sciences, Payame Noor University, Tehran, Iran
خلاصه مقاله:
Mostafa Amini - Department of Mathematics, Faculty of Sciences, Payame Noor University, Tehran, Iran
Let R be an associative ring and let n be a non-negative integer. In this paper, we consider n-super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules under change of rings. For an excellent extension S\geq R, we show that the Gorenstein n-super finitely presented dimensions (resp. weak Gorenstein n-super finitely presented dimensions) of rings R and S coincide.
کلمات کلیدی: almost excellent extension, excellent extension, Gorenstein n-weak injective module, Gorenstein n-weak flat module, n-super finitely presented module
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1667455/