التفاصيل البيبلوغرافية
| العنوان: |
On the symbolic powers of defining ideals of monomial curves associated to generalized arithmetic sequences. |
| المؤلفون: |
Kien, Do Van |
| المصدر: |
Communications in Algebra; 2024, Vol. 52 Issue 9, p3970-3977, 8p |
| مصطلحات موضوعية: |
ARITHMETIC, NOETHERIAN rings, GROBNER bases, COHEN-Macaulay rings, ALGEBRA, INTEGERS |
| مستخلص: |
Let s , a , n , d be positive integers such that n ≥ 2 and GCD (a , d) = 1 . Let P denote the defining ideal of the monomial curve associated to the sequence a , sa + d , ... , sa + nd . In this survey, we investigate the symbolic powers of P. We first show that for each i > 1 the equality P (i) = P i holds if and only if either n = 2 and a even or n = 3 , i = 2 and a ≡ 2 (mod 3) . The finitely generated property of the symbolic Rees algebra R S (P) are also explored. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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