We prove a generalization of Luh\u27s result without using Dirichlet\u27s Theorem. We then use Theorem 1 to show that the J-subrings of a periodic ring form a lattice with respect to join and intersection (the join of two subrings is the smallest subring containing both of them). After noting that every J-ring has nonzero characteristic, we determine for which positive integers n and m there exist J-rings of period n and characteristic m. This generalizes a problem posed by G. Wene
We study periodic rings that are finitely generated as groups. We prove several structure results. W...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
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...
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 characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
Let A be a power-associative ring, and suppose that for each ae A there exists an integer n = n(a)&g...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
AbstractIf s(t) is a periodic sequence from GF(q) = F, and if N is the number of times a non-zero el...
Let R be the ring of t X t matr ices with integral entr ies and identity I. Consider the sequence { ...
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...
AbstractBy counting the numbers of periodic points of all periods for some interval maps, we obtain ...
We study periodic rings that are finitely generated as groups. We prove several structure results. W...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
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...
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 characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
Let A be a power-associative ring, and suppose that for each ae A there exists an integer n = n(a)&g...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
AbstractIf s(t) is a periodic sequence from GF(q) = F, and if N is the number of times a non-zero el...
Let R be the ring of t X t matr ices with integral entr ies and identity I. Consider the sequence { ...
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...
AbstractBy counting the numbers of periodic points of all periods for some interval maps, we obtain ...
We study periodic rings that are finitely generated as groups. We prove several structure results. W...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
Abstract. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...