Equations of multi-Rees algebras

Jabbar Nezhad, Babak

ISBN 10: 620267296X / ISBN 13: 9786202672962

Published by LAP Lambert Academic Publishing, 2020

About this Item

Seller Inventory # I-9786202672962

Bibliographic Details

• Title: Equations of multi-Rees algebras
• Publisher: LAP Lambert Academic Publishing
• Publication Date: 2020
• Language: English
• ISBN 10: 620267296X
• ISBN 13: 9786202672962
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Describing defining equations of Rees algebra is a central problem in commutative algebra. More generally, given a family of ideals, one would like to describe the equations of the multi-Rees algebra of these ideals. Indeed, the multi-Rees algebra in question is simply the Rees algebra of the module. There is little work on the defining equations of the multi-Rees algebra compared to the ordinary Rees algebra. Another motivation for investigating the multi-Rees algebra is an illustration of the theory of Rees algebra of modules. In this work first, we describe defining equations of multi-Rees algebras of powers of an ideal of linear type. In the second part we describe defining equations of multi-Rees algebras of a family of ideals, where these ideals are generated by subsets of a regular sequence.