Center-like subsets in prime rings with derivations and endomorphisms

Let R be a prime ring. In this paper it’s proved that certain subsets of R defined by conditions involving derivations and endomorphisms coincide with the center of R . In fact, our results generalize and improve several results obtained earlier on center-like subsets in prime rings.

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Bibliographic Details
Published inAequationes mathematicae Vol. 95; no. 3; pp. 589 - 598
Main Authors Ait Zemzami, O., Oukhtite, L., Bell, H. E.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2021
Springer Nature B.V
Subjects
Analysis
Combinatorics
Mathematics
Mathematics and Statistics
Prime rings
16W25
Derivations
Endomorphisms
Center-like subsets
16W10
16N60
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Summary:Let R be a prime ring. In this paper it’s proved that certain subsets of R defined by conditions involving derivations and endomorphisms coincide with the center of R . In fact, our results generalize and improve several results obtained earlier on center-like subsets in prime rings.
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-021-00789-8