The objective of this note is the presentation of a procedure for converting a given GrÃ¶bner basis (Buchberger, 1965) of a polynomial ideal I to a GrÃ¶bner basis of I with respect to another termâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

1998

The reduced Pommaret basis and the reduced GrÃ¶bner basis of an ideal I with respect to a fixed admissible term order â‰º differ in general. A necessary and sufficient criterion for the coincidence ofâ€¦ (More)

BouncyCastle is an open source Crypto provider written in Java which supplies classes for Elliptic Curve Cryptography (ECC). We have found a flaw in the class ECPoint resulting from an unhappyâ€¦ (More)

Toric degenerations of polynomial ideals occur if one allows certain partial term orders in the theory of GrÃ¶bner bases. We prove that the collection of toric degenerations of an ideal can beâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

1996

We prove a regularity theorem on the GrÃ¶bner Fan of a polynomial ideal, and apply the regularity to obtain a â€˜filling algorithmâ€™ for the direct enumeration of all the reduced GrÃ¶bner bases of theâ€¦ (More)