Jorge J. Garc'es

activity

20122022

most citedPotent preservers of incidence algebras

9 citations · 13 across the 9 of their papers we have counts for

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math.RA2022

Linear maps preserving products equal to primitive idempotents of an incidence algebra

Jorge J. Garcés, Mykola Khrypchenko

Let $A$ , $B$ be algebras and $a \in A$ , $b \in B$ a fixed pair of elements. We say that a map $φ : A \to B$ preserves products equal to $a$ and $b$ if for all $a_{1}, a_{2} \in A$ the equalit…

math.RA2021★ 9 cited

Potent preservers of incidence algebras

Jorge J. Garcés, Mykola Khrypchenko

Let $X$ be a finite connected poset, $F$ a field and $I (X, F)$ the incidence algebra of $X$ over $F$ . We describe the bijective linear idempotent preservers $φ : I (X, F) \to I (X, F)$ . Na…