1 citations · 1 across the 3 of their papers we have counts for
4 papers
Regular Hom-Lie structures on incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
We fully characterize regular Hom-Lie structures on the incidence algebra of a finite connected poset over a field . We prove that such a structure is the sum of a…
Proper Lie automorphisms of incidence algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Ednei A. Santulo
Let be a finite connected poset and a field. We study the question, when all Lie automorphisms of the incidence algebra are proper. Without any restriction on the…
Jordan Isomorphisms of Finitary Incidence Algebras
Rosali Brusamarello, Érica Z. Fornaroli, Mykola Khrypchenko
Let be a partially ordered set, a commutative -torsionfree unital ring and the finitary incidence algebra of over . In this note we prove that each -…
Free fields in Malcev-Neumann series rings
Vitor O. Ferreira, Érica Z. Fornaroli, Javier Sánchez
It is shown that the skew field of Malcev-Neumann series of an ordered group frequently contains a free field of countable rank, i.e. the universal field of fractions of a free ass…