… A proper submodule N of M is a weakly classical prime submodule if whenever a, b ∈ R and
… (1) If N is a weakly prime submodule of M, then N is a weakly classical prime submodule of …

… prime submodule and call it weakly prime submodule. A proper submodule P of M is called a
… We show that if R has finite dimension (classical Krull-dimension), then each R-module has …

… classical prime submodules is named “weakly prime submodules”). For more information on
… First, we show that N1 is a weakly prime submodule of M1. Let 0 = am1 ∈ N1 for some a ∈ …

… weakly prime submodule as following: A proper submodule N of an R-module M is said to be
S-weakly prime submodule … , every S-prime submodule is an S-weakly prime submodule. In …

… We introduce and characterize classical prime and weakly prime L-submodules of a unitary
… L-Spec(M), the collection of all classical prime L- submodules of M, and investigate the …

… classical prime is used interchangeably with weakly prime, cf., [3], [4], [5], [6]. We here use
classical prime instead of weakly prime… In defense of our nomenclature, weakly prime modules …

… We also show that for any commutative Noetherian domain of dimension 1 (classical Krull
dimension), the study of weakly prime radicals of general modules reduces to that of finitely …

… of φ-classical prime submodules. We define an (n − 1,n)-φ-classical prime submodule of
M and investigate a number of results concerning (n − 1,n)-φ-classical prime submodules…

… same notion under the name ”classical prime submodule”, and in this paper we prefer to use
classical prime submodule instead of weakly prime submodule. In 2016, Mostafanasab et al…

… prime submodule which is not weakly prime, we consider the Z-module M = Z24 and the proper
submodule N … In this section we introduce the notion of classical φ-prime and classical φ-…