A note on monoform modules

A Hajikarimi, AR Naghipour - Bulletin of the Korean Mathematical …, 2019 - koreascience.kr
Let R be a commutative ring with identity and M be a unitary R-module. A submodule N of M
is called a dense submodule if $ Hom_R (M/N,\; E_R (M))= 0$, where $ E_R (M) $ is the …

Some results on integer-valued polynomials over modules

AR Naghipour, JS Hafshejani - Bulletin of the Korean Mathematical …, 2020 - koreascience.kr
Let M be a module over a commutative ring R. In this paper, we study Int (R, M), the module
of integer-valued polynomials on M over R, and Int M (R), the ring of integer-valued …

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 …