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

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/2026-05-05/

1. Quasi-Gorenstein morphisms of commutative local dg-algebras
2. Frobenius identities for the volume map on Cohen--Macaulay rings
3. Toric rings of signed posets and conic divisorial ideals via matroid theory
4. Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
5. Veronese Avoiding Hypersurfaces
6. Non-abelian extensions of Hom-Jacobi-Jordan algebras

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/2026-05-04/

1. Elimination Templates in Macaulay2
2. Trace ideals of exterior powers of the module of differentials
3. On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
4. Delta characters and crystalline cohomology of abelian schemes

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/2026-05-01/

1. Reverse Tableaux and the Surjectivity of the Component Map in Type $A$
2. Syzygies of the transfer ideal of the symmetric group
3. Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$
4. Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
5. Polynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition

arXiv math.ACの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ac/episodes/2026-04-30/

1. On $S$-Noetherian Lattices
2. k[x]-modules and Core-Nilpotent endomorphisms
3. On the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spaces
4. Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
5. Rota-Baxter Operators on Dual Quaternion Algebra
6. Causal Edge Rees Algebras for Spatiotemporal Graphs
7. On main eigenvalues of zero-divisor graphs of reduced rings