A note on Jordan derivations of triangular rings
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DOI: 10.1007/s00010-019-00689-y
Abstract: In this note we prove that every Jordan derivation on a triangular ring is a derivation. Moreover, we show that, under some conditions, every Jordan derivation on a 2-torsion free ring is a derivation. read more here.
Keywords: jordan derivations; derivations triangular; note jordan; derivation ... See more keywords
Nonlinear Jordan derivations of incidence algebras
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DOI: 10.1080/00927872.2021.1890106
Abstract: Abstract Let be a locally finite preordered set, a two-torsion-free commutative ring with unity and the incidence algebra of X over In this paper, all the nonlinear Jordan derivations of are determined. In particular, if… read more here.
Keywords: jordan derivations; incidence algebras; derivations incidence; derivation ... See more keywords
Jordan Derivations of Special Subrings of Matrix Rings
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DOI: 10.1142/s1005386719000087
Abstract: Let K be a 2-torsion free ring with identity and Rn(K, J) be the ring of all n × n matrices over K such that the entries on and above the main diagonal are elements… read more here.
Keywords: jordan derivations; special subrings; derivations special; jordan ... See more keywords
Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
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DOI: 10.3390/axioms12010086
Abstract: Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A. If… read more here.
Keywords: centralizing symmetric; jordan; jordan derivations; derivations centralizing ... See more keywords