A Commutativity Theorem for Rings

DOI10.2307/2041470zbMath0341.16020OpenAlexW4237426058MaRDI QIDQ4108482

Maurice J. Chacron

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041470

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (12)

On some center-like subsets of rings ⋮ Structures of rings satisfying certain conditions ⋮ Semiprime rings with prime ideals invariant under derivations. ⋮ Commuting-like elements in prime rings with derivations ⋮ Commutativity of rings with conditions on commutators, nilpotent and potent elements ⋮ Algebraic extensions of rings and rings of quotients ⋮ A Curious Characterization of Subrings of the Field Q and Applications ⋮ Algebraic \(\Phi\)-rings extensions of bounded index ⋮ Center-like subsets in prime rings with derivations and endomorphisms ⋮ Commutativity of rings through a Streb's result ⋮ Center-like subsets in rings with derivations or endomorphisms ⋮ Ring subsets that be center-like subsets

Cites Work

• On the hypercenter of a ring
• An algebraic dependence over the quasi-centre
• On a Theorem of Herstein
• The Structure of a Certain Class of Rings
• A commutativity theorem

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