Results 41 to 50 of about 1,062 (223)

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

The Strongly Nil-Clean Rings Of Order Two Units [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
If every element of a ring R is the sum of idempotent and nilpotent that commute, then the ring is said to be a strongly nil-clean. Further features of a strongly nil-clean ring are given in this paper.
Samira Toma, Nazar Shuker
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

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  

Contributions to automorphisms of affine spaces [PDF]

, 2013
We study aspects of the group G_n of polynomial automorphisms of the affine space A^n, the so-called affine Cremona group. Shafarevich introduced on G_n the structure of an ind-variety, an infinite-dimensional analogon to a (classical) variety.
Stampfli, Immanuel
core   +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

Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent [PDF]

, 2020
For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not ...
Traustason, Gunnar, Hadjievangelou, Anastasia, Marialaura Noce, Anastasia Hadjievangelou, Noce, Marialaura, Gunnar Traustason   +5 more
core   +1 more source

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

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

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