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references.bib

@@ -115,4 +115,64 @@ 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.}
+}
+
+@book{Dummit2004,
+author    = {Dummit, David S. and Foote, Richard M.},
+title     = {Abstract Algebra},
+edition   = {3},
+publisher = {John Wiley \& Sons},
+location  = {Hoboken, NJ},
+year      = {2004},
+}
+
+@book{Mollin2008,
+location = {Boca Raton},
+edition = {2nd ed},
+title = {Fundamental number theory with applications},
+isbn = {978-1-4200-6659-3},
+series = {Discrete mathematics and its applications},
+pagetotal = {369},
+publisher = {Chapman \& Hall/{CRC}},
+author = {Mollin, Richard A.},
+date = {2008},
+}
+
+@book{Nastasescu2004,
+location = {Berlin ; New York},
+title = {Methods of graded rings},
+isbn = {978-3-540-20746-7},
+series = {Lecture notes in mathematics},
+pagetotal = {304},
+number = {1836},
+publisher = {Springer},
+author = {Năstăsescu, Constantin and Oystaeyen, Freddy Van},
+date = {2004},
+keywords = {Associative rings, Graded rings},
+}
+
+@article{Hochster1972,
+ ISSN = {0003486X, 19398980},
+ URL = {http://www.jstor.org/stable/1970791},
+ author = {Melvin Hochster},
+ journal = {Annals of Mathematics},
+ number = {2},
+ pages = {318--337},
+ publisher = {[Annals of Mathematics, Trustees of Princeton University on Behalf of the Annals of Mathematics, Mathematics Department, Princeton University]},
+ title = {Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes},
+ urldate = {2026-09-10},
+ volume = {96},
+ year = {1972}
+}
+
+@book{Cox2011,
+author    = {Cox, David A. and Little, John B. and Schenck, Henry K.},
+title     = {Toric Varieties},
+series    = {Graduate Studies in Mathematics},
+volume    = {124},
+publisher = {American Mathematical Society},
+address   = {Providence, RI},
+year      = {2011},
+isbn      = {978-0-8218-4819-2},
+doi       = {10.1090/gsm/124}
 }