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- W4385375981 abstract "Let <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi>A</mi> </math> denote a commutative Noetherian ring, <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi mathvariant=fraktur>a</mi> </math> be an ideal of <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi>A</mi> </math> , <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi mathvariant=script>X</mi> </math> be an arbitrary dense subcategory of <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mi>A</mi> </math> -modules, and <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi mathvariant=script>N</mi> </math> be the full subcategory of finite <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>A</mi> </math> -modules. In this paper, we study <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <mi mathvariant=script>N</mi> <mo>⋆</mo> <mi mathvariant=script>X</mi> </math> - <math xmlns=http://www.w3.org/1998/Math/MathML id=M9> <mi mathvariant=fraktur>c</mi> </math> -cofinite modules with respect to the extension subcategory <math xmlns=http://www.w3.org/1998/Math/MathML id=M10> <mi mathvariant=script>N</mi> <mo>⋆</mo> <mi mathvariant=script>X</mi> </math> when <math xmlns=http://www.w3.org/1998/Math/MathML id=M11> <mi mathvariant=normal>dim</mi> <mtext> </mtext> <mi>A</mi> <mo>/</mo> <mi mathvariant=fraktur>c</mi> <mo>≤</mo> <mn>2</mn> </math> . We also study <math xmlns=http://www.w3.org/1998/Math/MathML id=M12> <mi mathvariant=fraktur>c</mi> </math> -cofiniteness with respect to a new dimension." @default.
- W4385375981 created "2023-07-30" @default.
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- W4385375981 date "2023-07-29" @default.
- W4385375981 modified "2023-10-16" @default.
- W4385375981 title "Cofiniteness with respect to Extension of Serre Subcategories at Small Dimensions" @default.
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- W4385375981 doi "https://doi.org/10.1155/2023/3793598" @default.
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