عنوان
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Pretty k-clean monomial ideals and k-decomposable multicomplexes
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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pretty k-clean, monomial ideal, k-decomposable, multicomplex
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چکیده
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We introduce pretty k-clean monomial ideals and k-decomposable multicomplexes, respectively, as the extensions of the notions of k-clean monomial ideals and k-decomposable simplicial complexes. We show that a multicomplex Γ is kdecomposable if and only if its associated monomial ideal I(Γ) is pretty k-clean. Also, we prove that an arbitrary monomial ideal I is pretty k-clean if and only if its polarization Ip is k-clean. Our results extend and generalize some results due to Herzog-Popescu, Soleyman Jahan and the first author
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پژوهشگران
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رحیم رحمتی اصغر (نفر اول)، امیر باقری (نفر دوم)
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