Baer submodules of modules over commutative rings

A Anebrı, H Kım, N Mahdou - International Electronic Journal of …, 2023 - dergipark.org.tr
Let R be a commutative ring and M be an R-module. A submodule N of M is called a d-
submodule ( resp., an fd-submodule ) if \ann_R(m)⊆\ann_R(m') ( resp …

Generalized trace submodules and centers of endomorphism rings

J Lyle - arXiv preprint arXiv:2311.00220, 2023 - arxiv.org
Let $ R $ be a commutative Noetherian local ring and $ M $ a finitely generated $ R $-
module. We introduce a general form of the classically studied trace map that unifies several …