A CHANGE OF RINGS RESULT FOR MATLIS REFLEXIVITY

作者：Dailey Douglas J^*; Marley Thomas

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145(5): 1837-1841.

DOI：10.1090/proc/13287

• Matlis reflexive
• minimal injective cogenerator

Let R be a commutative Noetherian ring and E the minimal injective cogenerator of the category of R-modules. An R-module M is (Matlis) reflexive if the natural evaluation map M -> Hom(R)(Hom(R)(M, E), E) is an isomorphism. We prove that if S is a multiplicatively closed subset of R and M is an RS-module which is reflexive as an R-module, then M is a reflexive RS-module. The converse holds when S is the complement of the union of finitely many nonminimal primes of R, but fails in general.

• 出版日期2017-5
• 单位大连大学