Classes of Monomial Ideals

作者: Anda Olteanu

DOI:

关键词:

摘要: In this thesis, we focus on the study of some classes monomial ideals, namely lexsegment ideals and with linear quotients.

参考文章(30)
H. Charalambous, E.G. Evans, Resolutions Obtained by Iterated Mapping Cones Journal of Algebra. ,vol. 176, pp. 750- 754 ,(1995) , 10.1006/JABR.1995.1270
Allen Knutson, Ezra Miller, Gröbner geometry of Schubert polynomials Annals of Mathematics. ,vol. 161, pp. 1245- 1318 ,(2005) , 10.4007/ANNALS.2005.161.1245
D. Rees, A theorem of homological algebra Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 52, pp. 605- 610 ,(1956) , 10.1017/S0305004100031650
Hans Schönemann, Gerhard Pfister, Gert-Martin Greuel, SINGULAR — A computer algebra system for polynomial computations Symbolic computation and automated reasoning. pp. 227- 233 ,(2001)
Jürgen Herzog, Combinatorics and commutative algebra American Mathematical Society. pp. 73- 121 ,(2008) , 10.1090/ULECT/042/02
Richard P. Stanley, The Upper Bound Conjecture and Cohen‐Macaulay Rings Studies in Applied Mathematics. ,vol. 54, pp. 135- 142 ,(1975) , 10.1002/SAPM1975542135
Francesco Brenti, Anders Björner, Combinatorics of Coxeter Groups ,(2010)