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CHARACTERIZATION OF SOME SPECIAL RINGS VIA LINKAGE
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نویسنده
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jahangiri m. ,sayyari kh.
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منبع
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journal of algebra and related topics - 2020 - دوره : 8 - شماره : 1 - صفحه:67 -81
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چکیده
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Providing a description of linked ideals in a commutative noetherian ring in terms of some associated prime ideals, we make a characterization of cohen-macaulay, gorenstein and regular local rings in terms of their linked ideals. more precisely, it is shown that the local ring (r,m) is cohen-macaulay if and only if any linked ideal is unmixed. also, (r,m) is gorenstein if and only if any unmixed ideal fa is linked by every maximal regular sequence in a. we also compute the annihilator of top local cohomology modules in some special cases.
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کلیدواژه
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Linkage of ideals ,Cohen-Macaulay modules ,Local cohomology ,Special rings.
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آدرس
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kharazmi university, faculty of mathematical sciences and computer, Iran, kharazmi university, faculty of mathematical sciences and computer, Iran
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Authors
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