2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211754Given a projective scheme $X$ over a field $k$, an automorphism $σ$ of $X$, and a $σ$-ample invertible sheaf $L$, one may form the twisted homogeneous coordinate ring $B = B(X, L, σ)$, one of the most fundamental constructions in noncommutative projective algebraic geometry. We study the primitive spectrum of $B$, as well as that of other closely related algebras such as skew and skew-Laurent extensions of commutative algebras. Over an algebraically closed, uncountable field $k$ of characteristic zero, we prove that that the primitive ideals of $B$ are characterized by the usual Dixmier-Moeglin conditions whenever the dimension of $X$ is no more than 2.34 pagesRings and AlgebrasAlgebraic Geometry14A22, 14J50, 16D60, 16S36, 16S38, 16W50The Dixmier-Moeglin equivalence for twisted homogeneous coordinate ringstext