عنوان
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Sequentially Cohen-Macaulay Matroidal Ideals
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Sequentially Cohen-Macaulay, monomial ideals, matroidal ideals
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چکیده
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Let $R=K[x_1,...,x_n]$ be the polynomial ring in $n$ variables over a field $K$ and let $I$ be a matroidal ideal of degree $d$ in $R$. Our main focus is determining when matroidal ideals are sequentially Cohen-Macaulay. In particular, all sequentially Cohen-Macaulay matroidal ideals of degree $2$ are classified. Furthermore, we give a classification of sequentially Cohen-Macaulay matroidal ideals of degree $d\geq 3$ in some special cases.
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پژوهشگران
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مدینه جعفری (نفر اول)، هیرو صارمی (نفر سوم)، امیر مافی (نفر دوم)
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