A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this condition and show that many but not all of them imply commutativity. We also present a variety of elementary proofs of the fact that x³ = x implies commutativity
We show that a ring with only finitely many noncentral subrings must be either commutative or finite
A ring R is called a left weakly local commutative ring (WLC, for short) if for any a...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
Abstract. In this paper we prove the following: THEOREM. Lt n> and m be fixed relatively prime po...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
to showing that certain rings must be commutative as a consequence of conditions which are seemingly...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
summary:Let $m > 1, s\geq 1$ be fixed positive integers, and let $R$ be a ring with unity $1$ in whi...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite
A ring R is called a left weakly local commutative ring (WLC, for short) if for any a...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
A ring satisfying x³ = x is necessarily commutative. We consider a variety of weaker forms of this ...
Abstract. In this paper we prove the following: THEOREM. Lt n> and m be fixed relatively prime po...
Below I examine the meaning of condition (*) in any (not necessarily associative) ring and show that...
AbstractDuring the last 55 years there have been many results concerning conditions that force a rin...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
ABSTRACT. Let R be a ring (not necessarily with identity), N the set of nilpotents, and n> a fixe...
A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ri...
to showing that certain rings must be commutative as a consequence of conditions which are seemingly...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
summary:Let $m > 1, s\geq 1$ be fixed positive integers, and let $R$ be a ring with unity $1$ in whi...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite
A ring R is called a left weakly local commutative ring (WLC, for short) if for any a...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
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