Standard Noether normalizations of the graph subring
Florian Luca
and Rita Zuazua
UNAM Mathematical Institute Ap. Postal 61-3 (Xangari) CP 58 089 Morelia Michoacán Mexico
DOI: 10.1007/s10801-006-0011-x
Abstract
In this paper, we confirm a conjecture of Alcántar by showing that graph subrings always admit standard Noether normalizations.
Pages: 415–436
Keywords: keywords graph subring; standard Noether normalizations
Full Text: PDF
References
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2. A. Dress, “The theorem of the k - 1 happy divorces,” Ann. Comb. 4 (2000), 183-194. Springer J Algebr Comb (2006) 24:415-436
3. M. Hochster, “Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes,” Ann. Math. 96 (1972), 318-337.
4. A. Simis, W.V. Vasconcelos, and R. Villarreal, “On the ideal theory of graphs,” J. Algebra 167 (1994), 389-416.
5. A. Simis, W.V. Vasconcelos, and R. Villarreal, “The integral closure of subrings associated to graphs,” J. Algebra 199 (1998), 281-289.
6. R. Villarreal, “Normality of subrings generated by squarefree monomials,” J. Pure App. Alg. 113 (1996), 91-106.
7. R.H. Villarreal, Monomial Algebras, Monographs and Textbooks in Pure and Applied Mathematics, 238 Marcel Dekker, Inc., New York, 2001.