Commutativity conditions for rings: 1950-2005.
type: Item
instance of: scholarly article
title: Commutativity conditions for rings: 1950-2005.
zbMATH Open document ID: 1148.16032
author: James Pinter-Lucke
published in: Expositiones Mathematicae
publication date: 2007-07-19T00:00:00Z
review text: The paper contains a survey of some commutativity conditions for rings including Herstein-type conditions and polynomial constraints. The author does an attempt to summarize some new results about commutativity conditions for special rings, \(C^*\)-algebras and for the so-called \(B_n\)-rings and \(P_n\)-rings.
Mathematics Subject Classification ID: 16U70
Mathematics Subject Classification ID: 16R50
Mathematics Subject Classification ID: 16-02
zbMATH DE Number: 5173107
zbMATH Keywords: commutativity theorems
zbMATH Keywords: polynomial constraints
reviewed by: Yu. N. Maltsev
MaRDI profile type: Publication
full work available at URL: j.exmath.2006.07.001
OpenAlex ID: W1969244669
Wikidata QID: Q56094066
cites work: Commutativity of one sided s-unital rings
cites work: Q3901629
cites work: Q3749197
cites work: On rings with conditions on nonperiodic elements.
cites work: Commutativity of rings satisfying certain polynomial identities
cites work: Q3897179
cites work: Q3689320
cites work: Duo Rings: Some Applications to Commutativity Theorems
cites work: On some commutativity theorems of Herstein
cites work: Some Commutativity Results for Rings with Two-Variable Constraints
cites work: A Commutativity Condition for Rings
cites work: A commutativity study for periodic rings
cites work: On the Power Map and Ring Commutativity
cites work: A setwise commutativity property for rings
cites work: Q3939963
cites work: Commutativity of rings with constraints on commutators
cites work: Q3809960
cites work: A criterion for commutativity of rings
cites work: On Some Centre–Like Subsets of Rings
cites work: Some conditions for finiteness and commutativity of rings
cites work: On rings with redundancy in multiplication
cites work: Q4843595
cites work: A combinatorial commutativity property for rings
cites work: Q4489117
cites work: Centralizing Mappings of Semiprime Rings
cites work: Q3027184
cites work: Near-commutativity and partial-periodicity conditions for rings.
cites work: Centralizing mappings and derivations in prime rings
cites work: Q3317264
cites work: Q3684257
cites work: On a conjecture by Herstein
cites work: Q3982323
cites work: A Generalization of a Theorem of Jacobson
cites work: A Generalization of a Theorem of Jacobson III
cites work: The Structure of a Certain Class of Rings
cites work: Two Remarks On The Commutativity Of Rings
cites work: A Condition for the Commutativity of Rings
cites work: On the hypercenter of a ring
cites work: A commutativity theorem
cites work: A Note on Derivations
cites work: On rings with a particular variable identity
cites work: On the commutativity of \(C^*\)-algebras
cites work: On characterizations of commutativity of C*-algebras
cites work: Q3851130
cites work: Q3324113
cites work: Q3824537
cites work: Q3980017
cites work: Q4225607
cites work: A commutativity-or-finiteness condition for rings.
cites work: Some commutativity results for rings
cites work: Note on Nilpotent Derivations
cites work: A Note on Commuting Automorphisms of Rings
cites work: Centralizing Automorphisms of Prime Rings
cites work: Ideals and Centralizing Mappings in Prime Rings
cites work: Erratum: Erratum to "Ideals and Centralizing Mappings in Prime Rings"
cites work: Centralizing Mappings of Prime Rings
cites work: Q3852690
cites work: Q5848508
cites work: MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS
cites work: Q4180501
cites work: Q3892393

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Q3341014

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Q3929904

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Q3801737

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Q4807948

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Weakly periodic and subweakly periodic rings.

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: Commuting and Centralizing Mappings in Prime Rings

Commutativity conditions for rings: 1950-2005. (cites work)
cites work: An order characterization of commutativity for \(C^{\ast}\)-algebras

Commutativity conditions for rings: 1950-2005. (DOI)
DOI: 10.1016/J.EXMATH.2006.07.001