In this article we study nonassociative rings satisfying the polynomial identity x yz = y zx , which we call “cyclic rings.” We prove that every semiprime cyclic ring is associative and commutative and that every cyclic right-nilring is solvable. Moreover, we find sufficient conditions for the nilpotency of cyclic right-nilrings and apply these results to obtain sufficient conditions for the nilpotency of cyclic right-nilalgebras
Abstract: In this paper we prove; If R is a left quasi-Noetherian ring,then every nil subring is ni...
WOS: 000407338700003In this paper, we deal with a new approach to reflexive property for rings by us...
Let R denote a ring with center Z, and let N be the set of nilpotent elements. We consider rings def...
In this article we study nonassociative rings satisfying the polynomial identity x yz = y zx , whi...
In this article we study nonassociative rings satisfying the polynomial identity x(yz)=y(zx), which ...
Abstract: This paper describes results on a non-associative ring R with the cyclic property: ()z = (...
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a ...
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring c...
Motivated by Grzeszczuk’s paper [9], we give a detailed analysis of nilpotent derivations of semipri...
ABSTRACT. Suppose that A is a ring with clic if ' all modules M with a generating ii = li+lXi &...
Abstract: This paper describes results on a non-associative ring R with the cyclic property
A ring A is called right (left) semihereditary if all finitely generated right (left) ideals of A ar...
Semiprime rings with nilpotent Lie ring of inner derivations Abstract. We give an elementary and sel...
Copyright © 2013 K. Jayalakshmi and G. Nageswari. This is an open access article distributed under t...
ABSTRACT. It is shown that simple rings over which proper cyclic right modules are continuous coinci...
Abstract: In this paper we prove; If R is a left quasi-Noetherian ring,then every nil subring is ni...
WOS: 000407338700003In this paper, we deal with a new approach to reflexive property for rings by us...
Let R denote a ring with center Z, and let N be the set of nilpotent elements. We consider rings def...
In this article we study nonassociative rings satisfying the polynomial identity x yz = y zx , whi...
In this article we study nonassociative rings satisfying the polynomial identity x(yz)=y(zx), which ...
Abstract: This paper describes results on a non-associative ring R with the cyclic property: ()z = (...
The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a ...
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring c...
Motivated by Grzeszczuk’s paper [9], we give a detailed analysis of nilpotent derivations of semipri...
ABSTRACT. Suppose that A is a ring with clic if ' all modules M with a generating ii = li+lXi &...
Abstract: This paper describes results on a non-associative ring R with the cyclic property
A ring A is called right (left) semihereditary if all finitely generated right (left) ideals of A ar...
Semiprime rings with nilpotent Lie ring of inner derivations Abstract. We give an elementary and sel...
Copyright © 2013 K. Jayalakshmi and G. Nageswari. This is an open access article distributed under t...
ABSTRACT. It is shown that simple rings over which proper cyclic right modules are continuous coinci...
Abstract: In this paper we prove; If R is a left quasi-Noetherian ring,then every nil subring is ni...
WOS: 000407338700003In this paper, we deal with a new approach to reflexive property for rings by us...
Let R denote a ring with center Z, and let N be the set of nilpotent elements. We consider rings def...