𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Gröbner Bases for Products of Determinantal Ideals

✍ Scribed by H. Arjunwadkar


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
85 KB
Volume
171
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


SAGBI and SAGBI-Gröbner Bases over Princ
✍ W.W. ADAMS; S. HOŞTEN; P. LOUSTAUNAU; J.L. MILLER 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 333 KB

Our aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI-Gröbner for subalgebras of polynomial rings in the special case where the base ring is a principal ideal domain. In addition we will show the existence in general of strong SAGBI bases (the natural analogue

Gröbner Bases for Spaces of Quadrics of
✍ Aldo Conca 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Let R = ⊕ i≥0 R i be a quadratic standard graded K-algebra. Backelin has shown that R is Koszul provided dim R 2 ≤ 2. One may wonder whether, under the same assumption, R is defined by a Gröbner basis of quadrics. In other words, one may ask whether an ideal I in a polynomial ring S generated by a s

On the Complexity of Gröbner Bases Conve
✍ Michael Kalkbrener 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 201 KB

In this paper, the complexity of the conversion problem for Gröbner bases is investigated. It is shown that for adjacent Gröbner bases F and G, the maximal degree of the polynomials in G, denoted by deg(G), is bounded by a quadratic polynomial in deg(F ). For non-adjacent Gröbner bases, however, the

Gröbner Bases of Modules over Reduction
✍ S. Stifter 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 374 KB

Reduction rings are rings in which the Gröbner bases approach is possible, i.e., the Gröbner basis of an ideal in a reduction ring can be computed using Buchberger's algorithm. We show that one can also compute Gröbner bases of modules over reduction rings. Our approach is much more general than oth

A New Algorithm for Discussing Gröbner B
✍ Antonio Montes 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 372 KB

Let F be a set of polynomials in the variables x = x 1 , . . . , xn with coefficients in R[a], where R is a UFD and a = a 1 , . . . , am a set of parameters. In this paper we present a new algorithm for discussing Gröbner bases with parameters. The algorithm obtains all the cases over the parameters

Gröbner Bases in Orders of Algebraic Num
✍ David Andrew Smith 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 281 KB

We prove that any order O of any algebraic number field K is a reduction ring. Rather than showing the axioms for a reduction ring hold, we start from scratch by well-ordering O, defining a division algorithm, and demonstrating how to use it in a Buchberger algorithm which computes a Gröbner basis g