DOIAbstract
We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity
We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
In this paper, we generalize some well-known commutativity theorems for associative rings as follows...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
We characterise polynomials f with integer coefficients such that a ring with unity R is necessaril...
We characterize polynomials f with integer coefficients such that a ring with unity R is necessarily...
We characterize polynomials f with integer coefficients such that a ring with unity R is necessarily...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
ABSTRACT. Let R be an associative rlng with unity. It is proved that if R satisfies Ohe polynomial i...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an as...
summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an as...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
In this paper, we generalize some well-known commutativity theorems for associative rings as follows...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
We characterise polynomials f with integer coefficients such that a ring with unity R is necessaril...
We characterize polynomials f with integer coefficients such that a ring with unity R is necessarily...
We characterize polynomials f with integer coefficients such that a ring with unity R is necessarily...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
ABSTRACT. In this paper, we generalize sone well-known commutativity theorems for associative rings ...
ABSTRACT. Let R be an associative rlng with unity. It is proved that if R satisfies Ohe polynomial i...
summary:Let $p$, $ q$ and $r$ be fixed non-negative integers. In this note, it is shown that if $R$...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
ABSTRACT. The following theorem is proved: Let r r(y)> 1, s, and be non-negative integers. If R i...
summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an as...
summary:Let $m \geq 0, ~r \geq 0, ~s \geq 0, ~q \geq 0$ be fixed integers. Suppose that $R$ is an as...
A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all ...
In this paper, we generalize some well-known commutativity theorems for associative rings as follows...
. In this paper we study some sufficient conditions for commutativity of a ring according to Jacobs...
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