Gröbner bases and equations of the multi-Rees algebras

2018/09/25 by Jabarnejad, Babak
#13A30 #13B25 #13H10 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.09316

Abstract

In this paper we describe the equations defining the multi-Rees algebra R[I₁^a₁t₁,…,I_r^a_rt_r], where R is a Noetherian ring and the ideals are generated by subsets of a fixed weak regular sequence.

Related

• Multi-Rees algebras on principal ideal rings
• Multi-Rees Algebras of Strongly Stable Ideals
• Groebner bases and regularity of Rees algebras
• Regularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs
• On the Construction of Gröbner Bases with Coefficients in Quotient Rings