Symbolic Rees algebra and reduction of modules

نویسندگان
Kumar, Sharvan ID 1
Ansari, Ajim Uddin ID 2
Singh, Priti ID 3
Kumar, Shiv Datt ID 4

1 Department of Mathematics, Patna University, India

2 Department of Mathematics, CMP Degree College, Allahabad University, India

3 Department of Mathematics, Patna Science College, Patna University, India.

4 Department of Mathematics, MNNIT Allahabad, India

doi
10.22034/as.2024.21148.1700
چکیده

In this paper, we study the symbolic Rees algebras of modules by using the theory of reductions of modules. We extend several results of the symbolic Rees algebra of ideals to the symbolic Rees algebra of modules and prove the necessary condition for the symbolic Rees algebras of modules to be Noetherian. Several examples of the symbolic Rees algebra are provided.

کلیدواژه‌ها
Fiber cone, Rees algebra, Symbolic Rees algebra