Depth Formulas For Certain Graded Modules Associated To A Filtration

Zarzuela, Santiago; Cortadellas, Teresa

doi:10.1201/9780203908013.ch12

Geometric and Combinatorial Aspects of Commutative Algebra 2001

DOI: 10.1201/9780203908013.ch12

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Depth Formulas For Certain Graded Modules Associated To A Filtration

Santiago Zarzuela¹,

Teresa Cortadellas²

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2015

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On the Relation Type of Fiber Cone

Jayanthan

Nanduri

2015

Acta Math Vietnam

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In this article, we study the relation type of the fiber cone of certain special classes of ideals in Noetherian local rings. We show that in any Noetherian local ring, if deviation of I is 1, and depth(G(F L )) ≥ − 1, then the relation types of R(I ) and F L (I ) are equal. We also prove that for lexsegment ideals in K [x, y], where K is a field, the relation types of the fiber cone and the Rees algebra are equal.

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On the Relation Type of Fiber Cone

Jayanthan

Nanduri

2015

Acta Math Vietnam

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Depth Formulas For Certain Graded Modules Associated To A Filtration

Cited by 1 publication

References 18 publications

On the Relation Type of Fiber Cone

On the Relation Type of Fiber Cone

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