Results 31 to 40 of about 1,061 (223)

Domination in the entire nilpotent element graph of a module over a commutative ring [PDF]

, 2021
Let R be a commutative ring with unity and M be a unitary R module. Let Nil(M) be the set of all nilpotent elements of M. The entire nilpotent element graph of M over R is an undirected graph E(G(M)) with vertex set as M and any two distinct vertices x ...
Goswami, Jituparna, Shabani, Masoumeh
core   +1 more source

Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute

Open Mathematics, 2017
An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
doaj   +1 more source

A Maximality Criterion for Nilpotent Commutative Matrix Algebras [PDF]

, 1974
Let A be a commutative algebra contained in Mn(F), F a field. Then A is nilpotent if there exists v such that Av=(0), and is said to have nilpotency class k (denoted Cl(A)=k) if Ak=(0), but Ak-1≠(0).
D. Handelman, P. Selick
core   +1 more source

Diophantine properties of nilpotent Lie groups [PDF]

, 2015
A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ...
Rosenzweig, Lior, Aka, Menny, Breuillard, Emmanuel, De Saxce, Nicolas   +3 more
core   +3 more sources

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

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  

A note on locally nilpotent derivations [PDF]

, 1992
Let R be a commutative reduced, Z-torsion free ring. Let d and δ be two locally nilpotent derivations of R which commute, a an element of R.
Lequain, Yves, Ferrero, Miguel, Nowicki, Andrzej   +2 more
core   +1 more source

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