Results 91 to 100 of about 1,324,184 (168)
Modules With Epimorphisms Between Their Submodules
Journal of Mathematics, Volume 2025, Issue 1, 2025.An R‐module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomR(N, K) or HomR(K, N) contains an injective element. Here, we are interested in studying modules which for any two submodules of them there is an epimorphism from one to the other.
P. Karimi Beiranvand, Pramita Mishra
wiley +1 more source
Higher Derivations Satisfying Certain Identities in Rings
Journal of Mathematics, Volume 2024, Issue 1, 2024.Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell‐Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx,y∈ZR for all x,y∈R.
Amal S. Alali +4 more
wiley +1 more source
A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]
Journal of Algebraic SystemsAn ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj +1 more source
On Fully Semiprime Submodules and Fully Semiprime Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with unity and let M be a unitary R-module. In this paper we study fully semiprime submodules and fully semiprime modules, where a proper fully invariant R-submodule W of M is called fully semiprime in M if whenever Xï ...
I.M.A. Hadi, B.N. Shihab
doaj
A remark on centralizers in semiprime rings
Glasnik matematički, 2004 The purpose of this paper is to prove the following result: Let m 1, n 1 be fixed integers and let R be a (m + n + 2)!-torsion free semiprime ring with the identity element. Suppose there exists an additive mapping T : R R, such that T(xm+n+1) = xm T(x) xn holds for all x R. In this case T is a centralizer.
openaire +3 more sources
Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
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
Left centralizers on rings that are not semiprime
Rocky Mountain Journal of Mathematics, 2011 In any ring \(R\), an additive \(T\colon R\to R\) is a (left) centralizer on \(R\) if \(T(xy)=T(x)y\) for all \(x,y\in R\), and is a Jordan centralizer when \(T(xy+yx)=T(x)y+T(y)x\). The main result of the paper is that for any Jordan centralizer \(T\) of \(R\), if \(I\) is the \(T\)-invariant ideal of \(R\) generated by \(\{T(xy)-T(x)y\mid x,y\in R\}\)
Hentzel, Irvin, El-Sayiad, M.S.
openaire +3 more sources
A Note on Power Values of Derivation in Prime and Semiprime Rings
Journal of Mathematical Extension, 2012 Let R be a ring with derivation d, such that (d(xy))n = (d(x))n (d(y))n for all x, y ∈ R and n > 1 a fixed integer. In this paper, we show that if R is prime, then d = 0 or R is commutative. If R is semiprime, then d maps R into its center. Moreover
Sh. Sahebi, V. Rahmani
doaj
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 Zhou H +5 more
europepmc +1 more source