Jordan derivations of finitary incidence rings

Let P be a preordered set, R a ring and FI(P, R) the finitary incidence ring of P over R. We find a criterion for all the Jordan derivations of FI(P, R) to be derivations. In particular, we prove that each Jordan derivation of the ring of row-finite -matrices over R is a derivation, if .

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Bibliographic Details
Published in:Linear & multilinear algebra 2016-10, Vol.64 (10), p.2104-2118
Main Author: Khrypchenko, Mykola
Format: Article
Language:English
Subjects:
Algebra
Criteria
Derivation
finitary incidence ring
Incidence
Jordan derivation
Primary: 16W25
Secondary: 16S60
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Summary:Let P be a preordered set, R a ring and FI(P, R) the finitary incidence ring of P over R. We find a criterion for all the Jordan derivations of FI(P, R) to be derivations. In particular, we prove that each Jordan derivation of the ring of row-finite -matrices over R is a derivation, if .
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2016.1139036