We prove that a generalized periodic, as well as a generalized Boolean, ring is either commutative or periodic. We also prove that a generalized Boolean ring with central idempotents must be nil or commutative. We further consider conditions which imply the commutativity of a generalized periodic, or a generalized Boolean, ring
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 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. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
McCoy and Montgomery [3] introduced the concept of a p-ring (p prime) as a ring R in which xp = x an...
A Boolean ring satisfies the identity x2 = x which, of course, implies the identity x2y − xy2 = 0. W...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
In this paper we prove that if R is a ring with 1 as an identity element in which xm−xn∈Z(R) for all...
ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form ...
ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form ...
We call a ring R generalized semicommutative if for any a, b 2 R, ab = 0 implies there exists posit...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
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 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. We prove that a generalized periodic, as well as a generalized Boolean, ring is either com...
McCoy and Montgomery [3] introduced the concept of a p-ring (p prime) as a ring R in which xp = x an...
A Boolean ring satisfies the identity x2 = x which, of course, implies the identity x2y − xy2 = 0. W...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
In this paper we prove that if R is a ring with 1 as an identity element in which xm−xn∈Z(R) for all...
ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form ...
ABSTRACT. It is proved that certain rings satisfying generalized-commutator constraints of the form ...
We call a ring R generalized semicommutative if for any a, b 2 R, ab = 0 implies there exists posit...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
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 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...
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