Automorphisms, σ-Biderivations and σ-Commuting Maps of Triangular Algebras

Let σ be an automorphism of an arbitrary algebra. In this paper, we introduce the notions of inner and extremal σ -biderivations and of proper σ -commuting maps. We prove that (under certain assumptions) every σ -biderivation of a triangular algebra is the sum of an extremal σ -biderivation and an i...

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Veröffentlicht in:	Mediterranean journal of mathematics 2017-04, Vol.14 (2), p.1-25
Hauptverfasser:	González, Cándido Martín, Repka, Joe, Sánchez-Ortega, Juana
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Automorphisms Commuting Mathematics Mathematics and Statistics
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