Accurately predicting the price of agricultural commodity is very important for evading market
risk, increasing agricultural income, and accomplishing government macroeconomic …

Many researchers discussed distributive modules and their properties. In this work, the
distributive property will be studied over semimodules. Some of the results obtained in …

In this paper we extend several results known for reduced rings to reduced modules. We
prove that for a semiprime module or a module with zero Jacobson radical, the concepts of …

Let M be a left R-module. Then M is a McCoy (resp., dual McCoy) module if for nonzero f
(X)∈ R [X] and m (X)∈ M [X], f (X) m (X)= 0 implies there exists a nonzero r∈ R (resp., m∈ …

We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be
an arbitrary ring with identity and M be a right R-module with S= EndR (M). A module M is …

In this note, we introduce abelian modules as a generalization of abelian rings. Let R be an
arbitrary ring with identity. A module M is called abelian if, for any m∈ M and any a∈ R, any …

We say a module MR a semicommutative module if for any m 2 M and any a 2 R, ma= 0
implies mRa= 0. This paper gives various properties of reduced, Armendariz, Baer, Quasi …

Let\alpha be an endomorphism of an arbitrary ring R with identity. In this note, we introduce
the notion of\alpha-abelian rings which generalizes abelian rings. We prove that\alpha …

Let R be a noncommutative ring with identity. We de ne the notion of a 2-absorbing
submodule and show that if the ring is commutative then the notion is the same as the …

We study the structure of rings whose principal right ideals contain a sort of two-sided ideals,
introducing right ${\pi} $-duo as a generalization of (weakly) right duo rings. Abelian ${\pi} …