Some remarks on the classical prime spectrum of modules

A Abbasi, MH Naderi - Facta Universitatis, Series …, 2021 - casopisi.junis.ni.ac.rs
Let R be a commutative ring with identity and let M be an R-module. A proper submodule P
of M is called a classical prime submodule if abm∈ P, for a, b∈ R, and m∈ M, implies that …

A generalization of primary ideals and strongly prime submodules

A Jafari, M Baziar, S Safaeeyan - Revista de la Unión …, 2021 - revistas.uns.edu.ar
Abstract We present $* $-primary submodules, a generalization of the concept of primary
submodules of an $ R $-module. We show that every primary submodule of a Noetherian …