عنوان
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On the extension and torsion functors of
local cohomology of weakly Laskerian and
Matlis reflexive modules
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Local cohomology modules, weakly Laskerian modules, Matlis duality functor, Matlis reflexive modules, extension functor, torsion functor, associated prime ideals, coassociated prime ideals, bass numbers.
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چکیده
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Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R and M,N two R-modules. The main purpose of this paper is to study the circumstances under which, for fixed integers j 2 N0 and n 2 N, the R-modules Extj R(N,Hn a (M)) and TorRj (N,Hn a (M)) are weakly Laskerian or Matlis reflexive. In this way, we also get to some results about the associated primes, coassociated primes and Bass numbers of Hn a (M).
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پژوهشگران
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کاظم خشیارمنش (نفر اول)، فهیمه خوش آهنگ قصر (نفر دوم)
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