Publication date
January 2004
DOI Publisher
Hindawi Limited Journal
International Journal of Mathematics and Mathematical SciencesAbstract
We show that a ring with only finitely many noncentral subrings must be either commutative or finite
We show that a ring with only finitely many noncentral subrings must be either commutative or finite
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
We present several new sufficient conditions for a ring to be finite; we give two conditions which f...
ABSTRACT. Several finiteness conditions on a commutative ring are investigated. It is shown that the...
Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. S...
ABSTRACT. A well-known theorem of Jacobson asserts that a ring R in which x n(x)=- x, for every x in...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
Abstract. A ring is called CT (commutative transitive) if commutativity is a transitive relation on ...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture ...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
We present several new sufficient conditions for a ring to be finite; we give two conditions which f...
ABSTRACT. Several finiteness conditions on a commutative ring are investigated. It is shown that the...
Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. S...
ABSTRACT. A well-known theorem of Jacobson asserts that a ring R in which x n(x)=- x, for every x in...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
Abstract. A ring is called CT (commutative transitive) if commutativity is a transitive relation on ...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
It is conjectured that every ring with a finite maximal subring is finite. We prove this conjecture ...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
Add to ORKG