Symbolic Rees algebra and reduction of modules
نویسندگان
1 دانشگاه تربیت مدرس
2 دانشگاه بوعلی سینا
3 دانشگاه تربیت مدرس
4 دانشگاه تبریز
doi
10.22034/as.2024.21148.1700چکیده
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.
