イデアルと行列式とベッチ数と整域 - 2026/9/29の論文26本

arXiv math.ACの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-09-29/ Characterizing Steiner Systems via Betti Numbers of Monomial Ideals On the $b$-invariant of a normal graded ring Maximal shifts below the Taylor bound Bernstein--Sato ideals might not be linear The Waldschmidt constant of square-free principal Borel ideals Binomial edge ideals of bipartite complements of even cycles The F-signature of Determinantal Rings Wide subcategories over commutative coherent rings Generalized mixed sequence multiplicity Total Rings of Quotients with Arbitrary Weak Global Dimensions DG Algebra Structures on Mapping Cones with an Application to Edge Ideals Splitting the Matroid Determinant On embeddings of rings into their canonical modules A B\'ezout domain that is not an elementary divisor domain Primary Decompositions in Lorentz-Covariant Rings Algebras with Variable Structural Constants and Their Applications Algebras with Variable Operator-Valued Structural Constants and Their Applications Relative Global Dimension of Controllable Extensions Gorenstein cotorsion pairs induced by balanced pairs Factorizations in algebraic monogenic semidomains The Moment Method for Computing Real Points of Sparse Polynomial Systems Coordinate descents, monodromy, and finite normalization of marked-root maps Matching algebras and their Dunkl subalgebras Strong and Explicit Forms of the One-Sided Nullstellensatz over Division Rings A Quadratic Lower Bound on Determinantal Complexity On the De Rham Cohomology of Zero-Dimensional Schemes