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artinianness of composed local cohomology modules
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نویسنده
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saremi hero
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منبع
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journal of algebraic systems - 2016 - دوره : 4 - شماره : 1 - صفحه:79 -84
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چکیده
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Abstract. let r be a commutative noetherian ring, and let aand b be two ideals of r such that r=(a + b) is artinian. letm and n be two nitely generated r-modules. we prove thathjb (hta(m;n)) is artinian for j = 0; 1, where t = inffi 2 n0 :hia(m;n) is not nitely generatedg. also, we prove that if dim supp(hia(m;n)) 2, then h1b (hia(m;n)) is artinian for all i. more-over, we show that if dimn = d, then hjb (hd??1a (n)) is artinianfor all j 1.
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کلیدواژه
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local cohomology modules ,generalized local cohomology modules ,artinian modules
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آدرس
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department of mathematics, sanandaj branch, islamic azad university, sanan- daj, iran, ایران
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Authors
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