72 BIBLIOGRAPHY [25] J. E. Hopcroft, R. Motwani, Rotwani, J. D. Ullman, Introduction to Automata Theory, Languages and Computability, 2nd edition, Addison-Wesley Longman Publishing Co., Inc. Boston, MA, USA, 2000. [26] L. Huishis, Noncommutative Gr¨ obner Bases and Filtered-Graded Transfer, Lecture Notes in Mathematics 1795, Springer Verlag, Heidelberg, 2002. [27] D. Happel, Hochschild homology of finite-dimensional algebras, in P. Dubreil et al. eds., S´ eminiare d’Alg´ ebre, Lect. Notes. Math. 1404, 108-126, Springer-Verlag, Heidelberg, 1998. [28] T. Holm, The even Hochschild cohomology ring of a block with cyclic defect group, J. Algebra 178 (1995(, 317-341. [29] T. Holm, Hochschild cohomology of tame blocks, J. Algebra 271 (2004), 798-826. [30] N. Horwitz, Linear resolutions of quadratic monomial ideals. J. Algebra to appear, Preprint 2007. [31] M. J¨ ollenbeck, On the Multigraded Poincar´ e Series and the Golod Property of Monomial Rings, J. pure appl. Alg. 207 (2006), 261-298. [32] Y. Kobayashi, Gr¨ obner bases of associative algebras and the Hochschild homology, Trans. Amer. Math. Soc. 367 (2005), 1095-1124. [33] D.N. Kozlov, Discrete Morse theory for free chain complexes, C.R. Math. Acad. Sci. Paris 340 (2995), 867-872. [34] I. Novik, A. Postnikov, B. Sturmfels, Syzygies of oriented matroids, Duke. Math. J. 111 (2002), 287–317. [35] I. Novik, Lyubeznik’s resolution and rooted complexes, J. Algebr. Comb. 16 (2002), 97-101. [36] P. Orlik, P., Welker, Algebraic Combinatorics, Universitext, Springer, Heidelberg, 2007. [37] K. Pardue, Nonstandard Borel fixed ideals, Doctoral Thesis, Brandeis University, 1994. [38] I. Peeva, 0-Borel fixed ideals, J. Algebra 184 (1997), 945-984. [39] I. Peeva, M. Velasco, Frames and degenerations of monomial ideals, Preprint 2005. [40] A. Postnikov, B. Shapiro, Trees, parking functions, syzygies and deformations of monomial ideals, Trans. Amer. Math. Soc. 356, (2004), 3109–3142. [41] A. Polishschuk, L. Positselski, Quadratic Algebras, University Lecture Series 37, Amer. Math. Soc., Providence, RI, 2005. [42] A. Sinefakopoulos, On Borel fixed ideals generated in one degree, arXiv:math/0702629, J, of Algebra to appear, preprint 2007. [43] A. Sinefakopoulos, On special p-Borel ideals, arXiv:math/0702628, preprint 2007. [44] E. Sk¨ oldberg, Morse theory from an algebraic viewpoint, Trans. Amer. Math. Soc. 358 (2006),115-129. [45] E. Sk¨ oldberg, The Hochschild homology of truncated and quadratic monomial algebras, J. Lond. Math. Soc. B Ser. 59 (1999), 76-86. [46] E. Sk¨ oldberg, Talk given at KTH Stockholm, March 2005. [47] E-Mail communication with B. Sturmfels. [48] V.A. Ufnarovski, Combinatorial and assymptotic methods in algebra, in Algebra VI Encycl. Math. Sci. 57, 1-196, Springer-Verlag, Heidelberg, 1995. [49] V.A. Ufnarovski, Introduction to noncommutative Gr¨ obner bases theory, in B. Buchberger et al. eds., Gr¨obner bases and applications, Lond. Math. Soc. Lect. Note Ser. 251, 259-280, Cambridge University Press, Cambridge, 1998. [50] M. Velasco, Minimal free resolutions that are not supported by a CW-complex, J. of Algebra to appear, Preprint 2005. [51] A. Weibel, An Introduction to Homological Algebra, Cambridge Studies in Advanced Math- ematics 38, Cambridge University Press, Cambridge, 1994. [52] G.W. Whitehead, Elements of Homotopy Theory, Graduate Texts in Mathematics 61, Springer-Verlag, New York, 1978.

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