Jordan Isomorphisms of the Finitary Incidence Ring of a Partially Ordered Category

2018/11/14 by Brusamarello, Rosali, Fornaroli, Érica Z., Khrypchenko, Mykola
#16S50 #16W10 (Secondary) #17C50 (Primary) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1811.05928

Abstract

Let C be a pocategory, FI(C) the finitary incidence ring of C and φ a Jordan isomorphism of FI(C) onto an associative ring A. We study the problem of decomposition of φ into the (near-)sum of a homomorphism and an anti-homomorphism.

Related

• Jordan Isomorphisms of Finitary Incidence Algebras
• Jordan isomorphisms of finitary incidence algebras
• Skew incidence rings and the isomorphism problem
• Local automorphisms of finitary incidence algebras
• Anti-isomorphisms and involutions on the idealization of the incidence space over the finitary incidence algebra