Results 31 to 40 of about 1,744,733 (206)

A weak periodicity condition for rings

International Journal of Mathematics and Mathematical Sciences, 2005
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element.
Hazar Abu-Khuzam, Howard E. Bell, Adil Yaqub   +2 more
doaj   +1 more source

On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]

Journal of Hyperstructures
In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi, Habib Harizavi, Tayebeh Koochakpoor   +2 more
doaj   +1 more source

Nilpotent elements in physics [PDF]

Journal of Physical Studies, 2007
Institute of Theoretical Physics, University of Wroclaw,pl. M. Borna 9, 50–204 Wroclaw, Poland(Received January 4, 2007)We briefly review some issues of the nilpotent objects in theoretical physics using simple modelsas an illustration. Nilpotent elements appear at quantum and classical level in several ways.
openaire   +1 more source

On Clean and Nil-Clean Symbolic 2-Plithogenic Rings [PDF]

Neutrosophic Sets and Systems, 2023
A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a
P. Prabakara, Florentin Smarandache
doaj  

Nilpotent elements and Armendariz rings

Journal of Algebra, 2008
Let \(R\) denote an associative ring with \(1\), and let \(\text{nil}(R)\) denote the set of nilpotent elements. Further, let \(f(x)=\sum_{i=0}^ma_ix^i,g(x)=\sum_{j=0}^nb_jx^j\in R[x]\) denote two arbitrary polynomials. One says that \(R\) is an Armendariz ring if \(f(x)g(x)=0\) implies that \(a_ib_j=0\) for all \(i\) and \(j\).
openaire   +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

m-rnc rings [PDF]

BIO Web of Conferences
In this article, an element w of an associative ring R is called m-regular nil clean or m-rnc if expressed as w = am + b where am is m-regular element and b is a nilpotent element. R is named m-regular nil clean ring or m-rnc ring. If all the elements of
Mahmood Ali Sh., Mohammed Ibraheem Zubaida   +1 more
doaj   +1 more source

Medium nil *-clean rings

Nantong Daxue xuebao. Ziran kexue ban, 2022
A *-ring R is called a medium *-clean ring if every element in R is the sum or difference of a nilpotent with a projection that commute. Fundamenta properties of such *-rings are obtained.
ZHANG Xixi; WU Jun
doaj   +1 more source

Unit-Regularity of Regular Nilpotent Elements [PDF]

Algebras and Representation Theory, 2016
In the revision some typos are corrected, minor modifications are made and also references to two related papers are added.
openaire   +3 more sources

On Cocharacters Associated to Nilpotent Elements of Reductive Groups [PDF]

Nagoya Mathematical Journal, 2008
Let G be a connected reductive linear algebraic group defined over an algebraically closed field of characteristic p. Assume that p is good for G. In this note we consider particular classes of connected reductive subgroups H of G and show that the cocharacters of H that are associated to a given nilpotent element e in the Lie algebra of H are ...
Fowler, Russell, Röhrle, Gerhard
openaire   +3 more sources