Abstract:

Given Abelian categories $\mathfrak{A}$ and $\mathfrak{B}$, and a right exact functor $\mathscr{F}$: $\mathfrak{A}$→$\mathfrak{B}$, an equivalent characterization for relative Gorenstein projective objects in the comma category ($\mathscr{F}$, $\mathfrak{B}$) is given in terms of relative Gorenstein projective objects in $\mathfrak{A}$ and $\mathfrak{B}$.

Key words: comma category, relative Gorenstein projective object, Abelian category