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 …

In this paper, we extend the notion of 2-nil ideal introduced by Yetkin Celikel in [E. Yetkin
Celikel, 2-nil ideals of commutative rings, Bulletin of the Belgian Mathematical Society …

A fully invariant submodule of is called fully prime in if for fully invariant submodules and of,
implies or with. In this paper, we give some characterizations of fully prime submodules. We …

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 …

We introduce reduced modules over a commutative ring and z0-submodules. Let R be a
commutative ring and M an R-module. An R-module M is called reduced if M has no …

R асоцiативне кiльце з 1= 0; M лiвий унiтальний R-модуль; A абелева група; IlR гратка
всiх лiвих iдеалiв кiльця R; IlM гратка всiх лiвих пiдмодулiв модуля M; P (A) множина всiх …

Let R be a ring. Then the ring R has finite right Goldie dimension if it contains a direct sum of
a finite number of nonzero right ideals. Symbolically, we write G. dim (R). A ring R is …

Trong bài báo này chúng tôi nghiên cứu khái niệm môđun con nguyên tố theo tính chất
đồng cấu của các môđun; đặc biệt theo định nghĩa tích của các môđun con. Cho M là R …

Let R be a ring. Then a proper ideal P in a ring R is called a prime ideal of R if for any ideals
I, J of R with IJ⊂ P, then either I⊂ P or J⊂ P. A ring R is called a prime ring if 0 is a prime …