RESULTS ON THE NORMALITY OF SQUARE-FREE MONOMIAL IDEALS AND COVER IDEALS UNDER SOME GRAPH OPERATIONS

Ibrahim Moh'd Abdulla Al-Ayyoub*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

ملخص

In this paper, we introduce techniques for producing normal square-free monomial ideals from old such ideals. These techniques are then used to investigate the normality of cover ideals under some graph operations. Square-free monomial ideals that come out as linear combinations of two normal ideals are shown to be not necessarily normal; under such a case we investigate the integral closedness of all powers of these ideals.
اللغة الأصليةEnglish
الصفحات (من إلى)441-457
عدد الصفحات17
دوريةMathematica Scandinavica
مستوى الصوت127
رقم الإصدار3
حالة النشرPublished - 2021

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