Axial constants and sectional regularity of homogeneous ideals
نویسندگان
چکیده
We introduce a notion of sectional regularity for homogeneous ideal I I , which measures the its general sections with respect to linear spaces various dimensions. It is related axial constants defined as intercepts on coordinate axes set exponents monomials in reverse lexicographic generic initial . show equivalence these notions and several other homological ideal-theoretic invariants. also establish that equivalent invariants grow linearly family powers given ideal.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16244