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Equations of multi-Rees algebras

Equations of multi-Rees algebras

Paperback

General Mathematics

ISBN10: 620267296X
ISBN13: 9786202672962
Publisher: Lap Lambert Academic Pub
Published: Jun 29 2020
Pages: 60
Weight: 0.22
Height: 0.14 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics