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A combinatorial commutativity property for rings.

Bell, Howard E., Klein, Abraham A. (2002)

International Journal of Mathematics and Mathematical Sciences

A commutativity theorem for associative rings

Mohammad Ashraf (1995)

Archivum Mathematicum

Let $m > 1, s \geq 1$ be fixed positive integers, and let $R$ be a ring with unity $1$ in which for every $x$ in $R$ there exist integers $p = p (x) \geq 0, q = q (x) \geq 0, n = n (x) \geq 0, r = r (x) \geq 0$ such that either $x^{p} [x^{n}, y] x^{q} = x^{r} [x, y^{m}] y^{s}$ or $x^{p} [x^{n}, y] x^{q} = y^{s} [x, y^{m}] x^{r}$ for all $y \in R$ . In the present paper it is shown that $R$ is commutative if it satisfies the property $Q (m)$ (i.e. for all $x, y \in R, m [x, y] = 0$ implies $[x, y] = 0$ ).

Displaying 1 – 15 of 15

A combinatorial commutativity property for rings.

A commutativity theorem for associative rings

A commutativity theorem for left s-unital rings.

A commutativity-or-finiteness condition for rings.

A note on centralizers.

A note on centralizers in $q$ -deformed Heisenberg algebras.

A note on rings which are multiplicatively generated by idempotents and nilpotents.

A note on rings with certain variable identities.

A note on semiprime rings with derivation.

A remark concerning commutativity modulo radical in Banach algebras

A result of commutativity of rings.

A theoreme on derivations in semiprime rings.

A weak periodicity condition for rings.

An iteration technique and commutativity of rings.

Anti-inverse rings.

Currently displaying 1 – 15 of 15