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.,
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. 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.
Previous Page Next Page