Results 101 to 110 of about 677,100 (167)

MODUL SEMIPRIME [PDF]

Suatu -modul kanan  dikatakan prime jika dan hanya jika untuk setiap submodul , berlaku . -modul kanan  dikatakan semiprime jika dan hanya jika submodul  semiprime. Dalam tulisan ini, diberikan beberapa syarat sehingga didapat pernyataan ;
Suprapto, Suprapto
core  

A subdirect decomposition of semiprime rings and its application to maximal quotient rings

, 1974
Levy [2] has examined semiprime rings which are irredundant subdirect products of prime rings. In this note we look at the role of inessential prime ideals and see how every semiprime ring is a subdirect product of (i) a semiprime ring which is an ...
Louis Halle Rowen
core   +1 more source

The Connection Between Jordan Derivations and Nilpotent Derivations on 2-Torsion-Free Semiprime Rings

Jambura Journal of Mathematics
Let R be a ring. A derivation on a ring is an additive map that satisfies the Leibniz rule d(ab) = d(a)b + ad(b), for every a, b ∈ R. A derivation d on a ring R is called a nilpotent derivation if there exists a natural number n such that dⁿ(R) = 0. This
Rahmah Mutiara Ayu Ningtiyas, Fitriani Fitriani, Ahmad Faisol   +2 more
doaj   +1 more source

ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS

, 2012
The  main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime  near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime  near- rings and 3-prime near-ring N ,we give some ...
Resan, Dalal Ibraheem, Dalal Ibraheem Resan, Mehsin Jabel Atteya, Atteya, Mehsin Jabel   +3 more
core   +1 more source

A remark on prime ideals

Extracta Mathematicae, 2020
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M the envelope EM (N ) of N in M is an essential extension of N. In particular, if N is divisible then EM (N ) = N .
S.C. Lee, R. Varmazyar
doaj  

GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS

, 2016
Let G be a group and R be a commutative G-graded ring with nonzero unity 1.  In this article, we define the graded semiprime ideals and the graded weakly semiprime ideals and we introduce several results concerning such ...
Abu-Dawwas, Rashid
core  

A Some Results on Double Cenralizer for Prime and Semiprime Г- rings

Ibn Al-Haitham Journal for Pure and Applied Sciences
             The goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the ...
Aya Hussein, Abdulahman H. Majeed , Shrooq Bahjat Smeein , Azza I.M.S. Abu-Shams   +3 more
doaj   +1 more source

Derivations of higher order in semiprime rings

International Journal of Mathematics and Mathematical Sciences, 1998
Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
doaj   +1 more source

A NOTE ON CENTRALIZERS IN SEMIPRIME RINGS

Demonstratio Mathematica, 2005
Summary: The purpose of this paper is to prove the following result: Let \(R\) be a \((m+n+2)!\) and \(3m^2n+3mn^2+4m^2+4n^2+10mn\)-torsion free semiprime ring with an identity element and let \(T\colon R\to R\) be an additive mapping such that \[ 3T(x^{m+n+1})=T(x)x^{m+n}+x^mT(x)x^n+x^{m+n}T(x) \] is fulfilled for all \(x\in R\) and some fixed ...
openaire   +2 more sources

Congruence Extensions in Congruence–Modular Varieties

Axioms
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences with respect to the term condition commutator.
George Georgescu, Leonard Kwuida, Claudia Mureşan   +2 more
doaj   +1 more source