Results 71 to 80 of about 62,478 (178)
Generalized derivations with power values on rings and Banach algebras [PDF]
Let $R$ be a prime ring and $I$ a nonzero ideal of $R.$ The purpose of this paper is to classify generalized derivations of $R$ satisfying some algebraic identities with power values on $I.$ More precisely, we consider two generalized derivations $F$ and
Abderrahman Hermas +2 more
doaj +1 more source
Strongly Invo. T- Clean Rings [PDF]
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
doaj +1 more source
On Semiabelian π-Regular Rings
A ring R is defined to be semiabelian if every idempotent of R is either right semicentral or left semicentral. It is proved that the set N(R) of nilpotent elements in a π-regular ring R is an ideal of R if and only if R/J(R) is abelian, where J(R) is ...
Weixing Chen
doaj +1 more source
CIC-DUX4 Sarcoma Involving the Skull Base: A Rare Presentation and Review of the Literature. [PDF]
Hobday SB +3 more
europepmc +1 more source
HOMOGENEOUS IDEALS AND JACOBSON RADICAL
In this paper the Jacobson radical of an algebra$F\langle X\rangle / H$ is studied, where FhXi is a free associative algebra of countable rank over infinite field $F$ and $H$ is a homogeneous ideal of the algebr$F\langle X\rangle$. The following theorem is proved: the Jacobson radical of an algebra $F\langle X\rangle / H$ is a nil ideal.
openaire +1 more source
In this paper we provide various properties of Rad-⊕-supplemented modules. In particular, we prove that a projective module M is Rad- ⊕-supplemented if and only if M is ⊕-supplemented, and then we show that a commutative ring R is an artinian serial ring
Türkmen Ergül
doaj +1 more source
The Arens-Calderon theorem for commutative topological algebras
A theorem of Arens and Calderon states that if A is a commutative Banach algebra with Jacobson radical Rad(A), and if a0 , . . . , an∈ A with a0 ∈ Rad(A) and a1 an invertible element of k A, then there exists y ∈ Rad(A) such that Σ ak yk = 0.
M. Weigt, I. Zarakas
doaj +1 more source
基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)
We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德) +1 more
doaj +1 more source
Accurate Quantum Chemical Reaction Energies for Lithium-Mediated Electrolyte Decomposition and Evaluation of Density Functional Approximations. [PDF]
Debnath S +6 more
europepmc +1 more source
El objetivo principal de esta monografía ha sido el de reunir en un solo texto algunas de las definiciones de radical, e ir mostrando a lo largo de esta, como cada nueva definición contiene a la anterior como caso particular. En el primer capítulo estudiaremos sucesivamente el radical de un anillo conmutativo con unidad, de un anillo con unidad y de ...
openaire +1 more source

