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Finiteness Properties of Local Cohomology Modules For (I, J)-Minimax Modules
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نویسنده
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Tayyebi Mamaghani J.
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منبع
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Journal Of Mahani Mathematical Research - 2018 - دوره : 7 - شماره : 2 - صفحه:79 -94
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چکیده
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Let r be a commutative noetherian ring and let i and j be two ideals of r. in this paper, we introduce the concept of (i, j)-minimax r-module and it is shown that if m is an (i, j)-minimax r-module and t a non-negative integer such that hi i,j (m) is (i, j)-minimax for all i < t, then for any (i, j)- minimax submodule n of ht i,j (m), the r-module homr(r / i, ht i,j (m) / n) is (i, j)-minimax. as a consequence, it follows that the goldie dimension of ht i,j (m) / n is finite and so the set of associated primes of ht i,j (m) / n is finite. this generalizes the main result of azami, naghipour and vakili [2, theorem 4.2].
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کلیدواژه
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Local Cohomology ,Cofinite Module ,Minimax Module ,Associated Primes
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آدرس
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Research Complex Of Tabriz, Department Of Azarbaijan Higher Education, ایران
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پست الکترونیکی
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javadtayyebi@ymail.com
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Authors
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