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math.AC2024
Generalization of semi-regular sequences: Maximal Gröbner basis degree, variants of genericness, and related conjectures
Momonari Kudo, Kazuhiro Yokoyama
Nowadays, the notion of semi-regular sequences, originally proposed by Fröberg, becomes very important not only in Mathematics, but also in Information Science, in particular Crypt…
math.AC2024
Degree bounds and synchronization in Gröbner basis computations for affine semi-regular systems
Momonari Kudo, Kazuhiro Yokoyama
Determining the complexity of computing Gröbner bases is an important problem in both theory and practice, and solving degrees provide a central measure of this complexity. We stud…