عنوان
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Local cohomology and Serre subcategories
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Local cohomology; Serre subcategory; S-regular sequences; S-depth
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چکیده
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The membership of the local cohomology modules Hn (M) of a module M in certain Serre subcategories aof the category of modules is studied from below (i < n) and from above (i > n). Generalizations of depth and regular sequences are defined. The relation of these notions to local cohomology are found. It is shown that the membership of the local cohomology modules of a finite module in a Serre subcategory in the upper range just depends on the support of the module.
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پژوهشگران
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لیف ملکرسون (نفر دوم)، محرم آقاپورنهر (نفر اول)
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