Let $ A=\{\textbf {a} _1,\ldots,\textbf {a} _m\}\subset\mathbb {Z}^ n $ be a vector configuration
and $ I_A\subset K [x_1,\ldots, x_m] $ its corresponding toric ideal. The paper consists of two …

A finitely generated commutative monoid is uniquely presented if it has a unique minimal
presentation. We give necessary and sufficient conditions for finitely generated …

Minimal systems of generators for ideals of semigroups Page 1 JOURNAL OF PURE AND
APPLIED ALGEBRA ELSEVIER Journal of Pure and Applied Algebra 124 (1998) 7-30 Minimal …

Abstract Let I⊆ R= K [x 1,…, xn] be a toric ideal, ie, a binomial prime ideal. We investigate
when the ideal I can be “split” into the sum of two smaller toric ideals. For a general toric …

Let X c It w be a projective curve. In this paper we try to find an upper bound for the number
of linearly independent hypersurfaces ZDX of given degree m and to investigate the …

Extending the notion of indispensable binomials of a toric ideal [Takemura, Akimichi, Aoki,
Satoshi, 2004. Some characterizations of minimal Markov basis for sampling from discrete …

To every simple toric ideal IT one can associate the strongly robust simplicial complex Δ T,
which determines the strongly robust property for all ideals that have IT as their bouquet …

This carefully prepared manuscript presents elimination theory in weighted projective
spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical …

This paper deals with syzygies of the ideals of the Veronese embeddings. By Green's
Theorem we know that OP n (d) satisfies Green-Lazarsfeld's Property N p∀ d≥ p,∀ n. By …

This book is based on six lectures and tutorials that were prepared for a workshop in
computational commutative algebra at the Harish Chandra Research Institute (HRI) at …