Данная книга посвящена изложению теории арифметических, дистрибутивных и
полудистрибутивных модулей и колец, а также модулей и колец Безу над …

Prime submodules and prime modules have appeared in many contexts. Modifying the
structure of prime ideals, many authors want to transfer this notion to right or left modules …

Hopkin-Levitzki Theorem said that every right Artinian ring is right Noetherian. It is well-
knnown that not every Artinian is Noetherian, for example the Prüfer group Zpo is Artinian …

module over a ring is a general mathematical concept for many examples of
mathematicalobjects that can be added to each other and multiplied by scalar numbers. In …

Let R be a commutative ring with identity. In this paper, we generalize the concept of Bézout
modules to P-Bézout modules. A module M over R is said P-Bézout if every finitely …

All rings are commutative with identity and all modules are unital. In this paper, we
investigate submodules of Bézout modules. The results obtained are then used to give some …

In this paper, we have studied prime submodules in distributive modules, prime avoidance
theorem for multiplication and distributive modules and the question when a multiplication …

Some Remarks on Free Multiplication Modules 1 Introduction Page 1 International Journal of
Algebra, Vol. 5, 2011, no. 14, 655 - 659 Some Remarks on Free Multiplication Modules Saeed …

In this paper we consider analogues of Cohen's theorem. We introduce new notions of
almost prime left (right) submodule and dr-prime left (right) ideal, this allows us to extend …

Let R be a commutative ring with identity and M be a unitary R-module. In this work we
introduce a weak multiplication module of certain kind and consider various properties of …