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arXiv · 1510.00944

Jordan derivations of finitary incidence rings

Mykola Khrypchenko
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Abstract

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 Jordan derivations of $FI(P,R)$ to be derivations and generalize Theorem 3.3 from arXiv:1411.6123. In particular, we prove that each Jordan derivation of the ring $RFM_I(R)$ of row-finite $I\times I$-matrices over $R$ is a derivation, if $|I|>1$.

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Mykola Khrypchenko. 2016-01-14. Jordan derivations of finitary incidence rings. https://arxiv.org/abs/1510.00944

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