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 am ∈ P or bm ∈ P. The classical prime spectrum of M, Cl.Spec(M), is defined to be the set of all classical prime submodules of M. We say M is classical primefule if M = 0, or the map ψ from Cl.Spec(M) to Spec(R/Ann(M)), defined by ψ(P) = (P : M)/Ann(M) for all P ∈ Cl.Spec(M), is surjective. In this paper, we study classical primeful modules as a generalisation of primeful modules. Also we investigate some properties of a topology that is defined on Cl.Spec(M), named the Zariski topology.

This study aimed to examine what challenges Iranian EFL teachers in the mainstream educational system experienced in distance classes during the COVID-19 pandemic. Telephone unstructured narrative interview was employed to collect data from 20 teacher participants, and two theoretical frameworks, CoI and TPACK, were used to interpret the results. The thematic narrative analysis yielded ten themes: non-customized platforms, material-related issues, connection/internet issues, pedagogical problems, evaluation problems, insufficiency of teachers’ knowledge of technology, unmet expectations, physical absence of teacher/student, student-related issues, and dealing with negative emotions. The authors discuss that while some challenges are the antecedent contextual challenges that existed and will probably continue to exist in the context of distance classes, some other challenges can be avoided if teachers are equipped with TPACK to fulfill their new roles in the community of distance classes.

Suppose R is a ring. The multiplicative power graph P(R) of R is the graphwhose vertices are elements of R, where two distinct vertices x and y are adjacent if and only if there exists a positive integer n such that x^n = y or y^n = x. In this paper, the tensor product of the power graphs of some nite rings and also some main properties of them will be studied.