arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-19/

1. Factorization in almost Dedekind domain
2. Elasticity of Orders from the $S$-relative Davenport Constant: an Arithmetic Application of a Number-Theoretic Investigation
3. Rank varieties over the generic hypersurface I
4. On positivity of the limit F-signature
5. $\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
6. The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid

arXiv math.ACの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-18/

1. Rota Baxter Operators on Truncated Polynomial Algebras
2. A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
3. A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-15/

1. A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closure
2. Numerical characterizations for integral dependence of graded modules
3. On Numerical Semigroups with Fixed Quotient
4. Commutative Semifields from bijections of the Desarguesian plane
5. Frobenius--Witt cotangent complexes

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-14/

1. On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform Hypergraphs
2. Betti numbers for cochordal zero-divisor graphs of commutative rings
3. Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
4. Remarks on diagonal dimension for algebraic stacks

arXiv math.ACの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-13/

1. Derived complete intersections and polynomial growth of Betti numbers over dg-algebras
2. Generalized Andr\'asfai graphs and special Betti diagrams of edge ideals
3. The v-numbers of permanental ideals
4. Bass numbers of graded components of local cohomology modules
5. The real Jacobian conjecture for maps with one component having degree 6

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-12/

1. Cohen-Macaulayness of formal fibers and dimension of local cohomology modules
2. Quadratic linear strands of prime ideals
3. Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices
4. A characterization of monoid graded semihereditary rings

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-11/

1. The derived depth formula for modules of finite quasi-projective dimension
2. Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
3. The Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$
4. Spectra of bi-incomplete Tambara functors
5. Adjoint test modules along Cohen--Macaulay morphisms
6. Tensor product surfaces and graded syzygies

arXiv math.ACの新着論文3本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-08/

1. The $i$-extended ideal-based cozero-divisor graph of a commutative ring
2. Quasi sdf-absorbing ideals in commutative rings
3. Connectedness in Codimension One and the Non-$S_2$ Locus

arXiv math.ACの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-07/

1. Depth of edge ideals and vertex connectivity of finite graphs
2. Tropical resolutions of configuration hypersurfaces
3. Non-external Proofs of Lagrange Inversion Formula
4. Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach

arXiv math.ACの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-05-06/

1. The depth function of powers of cover ideals of path graphs
2. Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs
3. Large homomorphisms on the homotopy lie coalgebra
4. Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals
5. Independence of generic forms and the Fr\"oberg conjecture
6. Asymptotic properties of random monomial ideals