2015/08/31 by Phạm Hùng Quý, Pham Hung Quy, Fred Rohrer
Chemistry · Mathematics · #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Commutative Algebra and Its Applications #Commutative property #Commutative ring #Ext functor #Finitely-generated abelian group #Flat module #Functor #Functor category #Injective function #Injective module #Local cohomology #Local ring #Mathematics #Noetherian #Noetherian ring #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Torsion (gastropod) #math.AC #msc:13C11 #msc:13D45
paper · pdf · doi:10.1080/00927872.2016.1206345
published as Comm. Algebra 45 (2017), 285-298
openalex publication_date 2016/10/11 · arxiv created 2016/10/12 · arxiv updated 2016/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A commutative ring is said to have ITI with respect to an ideal 𝔞 if the 𝔞-torsion functor preserves injectivity of modules. Classes of rings with ITI or without ITI with respect to certain sets of ideals are identified. Behavior of ITI under formation of rings of fractions, tensor products, and idealization is studied. Applications to local cohomology over non-noetherian rings are given.