Research Information System
Journal of Algebraic Systems, vol.14, no.2, pp.369-381, 2026 (ESCI, Scopus)
Let R be a commutative ring with identity. For t ∈ N, a proper submodule N of an R-module M is called a t-prime submodule if rm ∈ N (r ∈ R, m ∈ M), then m ∈ N or rt ∈ (N :R M). We obtain some other characterizations of t-prime submodules. Also, by some other notions like t-secondary submodules, various properties of t-prime submodules are investigated. To this end, we deal with irreducible as well as reduced t-prime decompositions of a submodule. We provide several examples to illustrate our results.