first draft

references.bib

@@ -56,4 +56,63 @@ author = {Bruns, Winfried and Li, Ping and Römer, Tim},
 urldate = {2026-08-12},
 date = {2006-08},
 langid = {english},
+}
+
+@incollection{Bruns2005,
+  author    = {Bruns, Winfried},
+  title     = {Conic divisor classes over a normal monoid algebra},
+  booktitle = {Commutative Algebra and Algebraic Geometry},
+  series    = {Contemporary Mathematics},
+  volume    = {390},
+  pages     = {63--71},
+  publisher = {American Mathematical Society},
+  location  = {Providence, RI},
+  year      = {2005},
+}
+
+
+@incollection{Blickle2013,
+	location = {New York, {NY}},
+	title = {$p^{-1}$-Linear Maps in Algebra and Geometry},
+	isbn = {978-1-4614-5291-1 978-1-4614-5292-8},
+	url = {https://link.springer.com/10.1007/978-1-4614-5292-8_5},
+	doi = {10.1007/978-1-4614-5292-8_5},
+	pages = {123--205},
+	booktitle = {Commutative Algebra},
+	publisher = {Springer New York},
+	author = {Blickle, Manuel and Schwede, Karl},
+	editor = {Peeva, Irena},
+	urldate = {2026-09-01},
+	date = {2013},
+	langid = {english},
+}
+
+@inbook{Leuschke2012,
+url = {https://doi.org/10.1515/9783110250404.293},
+title = {Non-commutative Crepant Resolutions: Scenes From Categorical Geometry},
+booktitle = {Progress in Commutative Algebra 1},
+booktitle = {Combinatorics and Homology},
+author = {Graham J. Leuschke},
+editor = {Christopher Francisco and Lee C. Klingler and Sean Sather-Wagstaff and Janet C. Vassilev},
+publisher = {De Gruyter},
+address = {Berlin, Boston},
+pages = {293--364},
+doi = {doi:10.1515/9783110250404.293},
+isbn = {9783110250404},
+year = {2012},
+lastchecked = {2026-09-02}
+}
+
+@article{Faber2019,
+title = {Non-commutative resolutions of toric varieties},
+journal = {Advances in Mathematics},
+volume = {351},
+pages = {236-274},
+year = {2019},
+issn = {0001-8708},
+doi = {https://doi.org/10.1016/j.aim.2019.04.021},
+url = {https://www.sciencedirect.com/science/article/pii/S0001870819301823},
+author = {Eleonore Faber and Greg Muller and Karen E. Smith},
+keywords = {Toric variety, Non-commutative resolution, Finite global dimension, Non-commutative crepant resolution, Rings of differential operators, Strong F-regularity},
+abstract = {Let R be the coordinate ring of an affine toric variety. We prove, using direct elementary methods, that the endomorphism ring EndR(A), where A is the (finite) direct sum of all (isomorphism classes of) conic R-modules, has finite global dimension equal to the dimension of R. This gives a precise version, and an elementary proof, of a theorem of Špenko and Van den Bergh implying that EndR(A) has finite global dimension. Furthermore, we show that EndR(A) is a non-commutative crepant resolution if and only if the toric variety is simplicial. For toric varieties over a perfect field k of prime characteristic, we show that the ring of differential operators Dk(R) has finite global dimension.}
 }