プレプリどんどん: math.AC

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arXivのmath.AC (可換環論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

  1. 4H AGO

    Rota-Baxter演算子と射影次元と行列分解 - 2026/5/18の論文3本

    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/ Rota Baxter Operators on Truncated Polynomial AlgebrasA Linear Bound on the Projective Dimension of Height 3 Quadratic IdealsA category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity

    6 min

  2. 3D AGO

    整域と半群とコタンジェント複体 - 2026/5/15の論文5本

    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/ A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closureNumerical characterizations for integral dependence of graded modulesOn Numerical Semigroups with Fixed QuotientCommutative Semifields from bijections of the Desarguesian planeFrobenius--Witt cotangent complexes

    9 min

  3. 4D AGO

    超グラフと零因子グラフと代数スタック - 2026/5/14の論文4本

    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/ On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform HypergraphsBetti numbers for cochordal zero-divisor graphs of commutative ringsDistance Reduction in Bouquet Decompositions and Toric Ideals of GraphsRemarks on diagonal dimension for algebraic stacks

    7 min

  4. 5D AGO

    ベッティ数とヤコビアンと局所コホモロジー - 2026/5/13の論文5本

    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/ Derived complete intersections and polynomial growth of Betti numbers over dg-algebrasGeneralized Andr\'asfai graphs and special Betti diagrams of edge idealsThe v-numbers of permanental idealsBass numbers of graded components of local cohomology modulesThe real Jacobian conjecture for maps with one component having degree 6

    9 min

  5. 6D AGO

    形式的ファイバーと多変数行列とモノイド環 - 2026/5/12の論文4本

    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/ Cohen-Macaulayness of formal fibers and dimension of local cohomology modulesQuadratic linear strands of prime idealsMatrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matricesA characterization of monoid graded semihereditary rings

    9 min

  6. MAY 11

    準射影次元と表面とシジジー - 2026/5/11の論文6本

    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/ The derived depth formula for modules of finite quasi-projective dimensionAnalytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction varietyThe Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$Spectra of bi-incomplete Tambara functorsAdjoint test modules along Cohen--Macaulay morphismsTensor product surfaces and graded syzygies

    12 min

  7. MAY 8

    可換環のイデアルと連結性 - 2026/5/8の論文3本

    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/ The $i$-extended ideal-based cozero-divisor graph of a commutative ringQuasi sdf-absorbing ideals in commutative ringsConnectedness in Codimension One and the Non-$S_2$ Locus

    5 min

  8. MAY 7

    辺イデアルとトロピカル分解能と微分代数 - 2026/5/7の論文4本

    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/ Depth of edge ideals and vertex connectivity of finite graphsTropical resolutions of configuration hypersurfacesNon-external Proofs of Lagrange Inversion FormulaSymmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach

    6 min
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arXivのmath.AC (可換環論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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