Commutativity Preservers of Incidence Algebras

Let I ( X ,  K ) be the incidence algebra of a finite connected poset X over a field K and D ( X ,  K ) its subalgebra consisting of diagonal elements. We describe the bijective linear maps φ : I ( X , K ) → I ( X , K ) that strongly preserve the commutativity and satisfy φ ( D ( X , K ) ) = D ( X ,...

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Veröffentlicht in:	Algebras and representation theory 2024-04, Vol.27 (2), p.1457-1476
Hauptverfasser:	Fornaroli, Érica Z., Khrypchenko, Mykola, Santulo, Ednei A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Commutative Rings and Algebras Commutativity Mathematics Mathematics and Statistics Non-associative Rings and Algebras Set theory
Online-Zugang:	Volltext
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