Results 111 to 120 of about 1,530 (213)

Nilpotent groups acting on abelian groups

open access: yes, 1993
In this paper, we study certain properties of the group ring of a nilpotent group which are related to commutativity and conjugation. We establish some relations involving conjugates of the elements of the group ring; these relations are then used to get
Guy Laberge, Charles Cassidy
core   +1 more source

On the nilpotent elements of semigroups [PDF]

open access: yesColloquium Mathematicum, 1972
Hoo, Cheong-Seng, Shum, Kar-Ping
openaire   +2 more sources

Rings in Which Every Quasi-nilpotent Element is Nilpotent

open access: yesTurkish Journal of Mathematics and Computer Science
A ring \( R \) is called a QN-ring if \( R \) satisfies the equation \( Q(R) = N(R) \). In this paper, we present some fundamental properties of the class of QN-rings. It is shown that for \( R \) being a 2-primal (nil-semicommutative) ring, \( R \) is a QN-ring if and only if \( Q(R) \) is a nil ideal; if \( R \) is a QN-ring, then \( R/J(R) \) is
openaire   +2 more sources

On nilpotent elements in a nearring of polynomials

open access: yes, 2012
For a ring $R$, $R[x]$ is a left nearring under addition and substitution, and we denote it by ($R[x],+,\circ$). In this note, we show that if $nil(R)$ is a locally nilpotent ideal of $R$, then $nil(R[x],+,\circ)=nil(R)_0[x]$, where $nil(R)$ is the set
Ebrahim Hashemi, Hashemi, Ebrahim
core  

حول العناصر المتحایدة

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
Nazar H. Shuker, Alaa Hammodat
doaj   +1 more source

Idempotent and nilpotent elements in octonion rings over Zₚ

open access: yes
In this paper, we show that the set O/Zp, where p is a prime number, does not form a skew field and discuss idempotent and nilpotent elements in the (finite) ring O/Zp.
ARISTIDOU, Michael   +2 more
core   +1 more source

On Soft Near-Prime Int-Ideals and Soft 1-Absorbing Prime Int-Ideals With Applications

open access: yesJournal of Mathematics
In this study, we aimed to introduce two different generalizations of the soft prime int-ideal and clarify the relationships between the soft prime int-ideal and the substructures of a ring. First, we explored new algebraic features of the soft prime int-
İbrahim Halil Kanat, Filiz Çıtak
doaj   +1 more source

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