ملخص
We provide a construction of monomial ideals in R = K[x, y] such that
µ(I
2
) < µ(I), where µ denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018). Working in
the ring R, we generalize the definition of a Freiman ideal which was introduced in J. Herzog,
G. Zhu (2019) and then we give a complete characterization of such ideals. A particular case
of this characterization leads to some further investigations on µ(I
k
) that generalize some
results of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018), J. Herzog, M. Mohammadi
Saem, N. Zamani (2019), and J. Herzog, A. Asloob Qureshi, M. Mohammadi Saem (2019).
µ(I
2
) < µ(I), where µ denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018). Working in
the ring R, we generalize the definition of a Freiman ideal which was introduced in J. Herzog,
G. Zhu (2019) and then we give a complete characterization of such ideals. A particular case
of this characterization leads to some further investigations on µ(I
k
) that generalize some
results of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018), J. Herzog, M. Mohammadi
Saem, N. Zamani (2019), and J. Herzog, A. Asloob Qureshi, M. Mohammadi Saem (2019).
اللغة الأصلية | English |
---|---|
الصفحات (من إلى) | 847-864 |
عدد الصفحات | 17 |
دورية | Czechoslovak Mathematical Journal |
مستوى الصوت | 71 |
رقم الإصدار | 146 |
حالة النشر | Published - 2021 |
ASJC Scopus subject areas
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