Add to ORKGAbstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive integers k,l,m, and n with either k =m or l =n, depending on x and y, for which xkyl = xmyn. Necessary and sufficient conditions are established for a ring to be a direct sum of a nil ring and a J-ring. 2000 Mathematics Subject Classification. Primary 16U99, 16N20, 16D70. 1. Introduction. Throughou
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
We prove a generalization of Luh\u27s result without using Dirichlet\u27s Theorem. We then use Theor...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Let R denote a ring with center Z, and let N be the set of nilpotent elements. We consider rings def...
We characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a ...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
We prove a generalization of Luh\u27s result without using Dirichlet\u27s Theorem. We then use Theor...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Let R denote a ring with center Z, and let N be the set of nilpotent elements. We consider rings def...
We characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a ...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R gener...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...