2019
DOI: 10.1142/s2196888819010012
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From the Editors and Nguyen Tat Thanh University

Abstract: Let H = n 1 , n 2 , n 3 be a numerical semigroup. Let H be the interval completion of H, namely the semigroup generated by the interval n 1 , n 1 +1, . . . , n 3 . Let K be a field and K[H] the semigroup ring generated by H. Let I * H be the defining ideal of the tangent cone of K[H]. In this paper, we describe the defining equations of I * H . From that, we establish the Herzog-Stamate conjecture for monomial space curves stating that β i (I * H ) ≤ β i (I * H ) for all i, where β i (I * H ) and β i (I * H ) … Show more

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Cited by 2 publications
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“…Pectin content (%) in solution was determined by calcium pectate precipitation method (Nguyen, 2001), using Eq. 1:…”
Section: Methodsmentioning
confidence: 99%
“…Pectin content (%) in solution was determined by calcium pectate precipitation method (Nguyen, 2001), using Eq. 1:…”
Section: Methodsmentioning
confidence: 99%
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Section: Introductionmentioning
confidence: 99%