1. Initially Cohen-Macaulay Modules
   2025/10/30 by Namiq, Mohammed Rafiq · 1 citation
   #05C07 #05C90 #13C15 #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C70 #Secondary 05E40
2. Generalized Hilbert-Kunz Multiplicity for Families of Ideals
   2025/10/29 by Landsittel, Stephen, Das, Sudipta · 1 citation
   #13A35 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics
3. An extension of Viennot's shadow to rook placements via orbit harmonics
   2025/10/27 by Liu, Jasper M., Zhu, Hai · 2 citations
   #05E10 #05E18 #05E40 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
4. Vanishing theorems for combinatorial geometries
   2025/10/06 by Eur, Christopher, Fink, Alex, Larson, Matt · 2 citations
   #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
5. Koszul cohomology and support of local cohomology modules of complete intersections
   2025/09/26 by Michael Gintz, Gintz, Michael, Wenliang Zhang +1 · 1 citation
   Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
6. Depth and Associated Primes in Group Cohomology
   2025/09/08 by Schafer, James A. · 1 citation
   #Commutative Algebra (math.AC) #FOS: Mathematics
7. Hilbert-Kunz multiplicity of quadrics via Ehrhart theory
   2025/08/25 by Pak, Igor, Shapiro, Boris, Smirnov, Ilya +1 · 2 citations
   #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
8. On the set of atoms and strong atoms in additive monoids of cyclic semidomains
   2025/08/15 by Jiya Dani, Anna Deng, Dani, Jiya +11 · 2 citations
   Computer Science · Mathematics · #Advanced Algebra and Logic #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #semigroups and automata theory
9. Stanley-Reisner ideals with linear powers
   2025/08/14 by Ficarra, Antonino, Moradi, Somayeh · 6 citations
   #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
10. On the system of length sets of power monoids
    2025/08/13 by Reinhart, Andreas · 3 citations
    #11B13 #11B30 #20M13 #Commutative Algebra (math.AC) #FOS: Mathematics
11. Complementary edge ideals
    2025/08/13 by Hibi, Takayuki, Qureshi, Ayesha Asloob, Madani, Sara Saeedi · 5 citations
    #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
12. CAKL: Commutative algebra k-mer learning of genomics
    2025/08/13 by Suwayyid, Faisal, Hozumi, Yuta, Feng, Hongsong +3 · 6 citations
    #13P25 #92D20 #Commutative Algebra (math.AC) #FOS: Biological sciences #FOS: Mathematics #Quantitative Methods (q-bio.QM)
13. Counting finite O-sequences of a given multiplicity
    2025/07/31 by Cioffi, Francesca, Guida, Margherita · 1 citation
    #Commutative Algebra (math.AC) #FOS: Mathematics
14. Advancing Computational Tools for Analyzing Commutative Hypercomplex Algebras
    2025/07/30 by Jiménez-López, José Domingo, Navarro-Moreno, Jesús, Fernández-Alcalá, Rosa María +1 · 1 citation
    #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Spectral Theory (math.SP) #Statistics Theory (math.ST)
15. Introduction to the Cohomology of the Flag Variety
    2025/06/26 by Billey, Sara C., Gao, Yibo, Pawlowski, Brendan · 4 citations
    #05E05 #05E14 #14N15 #14N20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
16. Radical property of the traces of the canonical modules of Cohen-Macaulay rings
    2025/06/22 by Miyazaki, Mitsuhiro · 1 citation
    #05C25 #05E40 #13H10 #14M15 #52B20 #Commutative Algebra (math.AC) #FOS: Mathematics
17. Strong Watanabe-Yoshida conjecture for Complete Intersections
    2025/06/10 by Castillo-Rey, Joel · 3 citations
    #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
18. ℤ^r-graded rings and their canonical modules
    2025/05/16 by Margherita Barile, Winfried Bruns, Barile, Margherita +1 · 1 citation
    Mathematics · #13C14 #13C15 #13C70 #13F05 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
19. Valuative independence and cluster theta reciprocity
    2025/05/14 by Cheung, Man-Wai, Magee, Timothy, Mandel, Travis +1 · 3 citations
    #13F60 (Primary) 14J33 (Secondary) #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
20. Standard multigraded Hibi rings and Cartwright-Sturmfels ideals
    2025/05/11 by Koji Matsushita, Koichiro Tani, Matsushita, Koji +1 · 1 citation
    Computer Science · Mathematics · #05E40 #13D40 #14M25 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Primary: 13F65 #Secondary: 13P10
21. Generalized cluster algebras are subquotients of cluster algebras
    2025/04/29 by Ramos, Rolando, Whiting, David · 1 citation
    #13F60 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)
22. On GL-domains and the ascent of the IDF property
    2025/04/14 by Gonzalez, Victor, Panpaliya, Ishan · 1 citation
    #13F15 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 13A05 #Secondary: 13P05
23. Support-2 monomial ideals that are Simis
    2025/04/09 by Bordoloi, Paromita, Das, Kanoy Kumar, Kumar, Rajiv · 1 citation
    #05C22 #05C25 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C70 05E40 #Secondary 13A70
24. Faster computation of Witt vectors over polynomial rings
    2025/04/02 by Muñoz--Bertrand, Rubén · 2 citations
    #Commutative Algebra (math.AC) #FOS: Mathematics
25. Differential and symbolic powers of ideals
    2025/03/27 by Alessandro De Stefani, Eloísa Grifo, De Stefani, Alessandro +3 · 1 citation
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras
26. Preserving Lefschetz properties after extension of variables
    2025/03/21 by Kling, Filip Jonsson · 1 citation
    #13C40 #13D40 #13E10 #Commutative Algebra (math.AC) #FOS: Mathematics
27. Skein and cluster algebras of punctured surfaces
    2025/03/19 by Li, Enhan · 1 citation
    #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric Topology (math.GT) #Representation Theory (math.RT)
28. Exploring the unleaved tree of numerical semigroups up to a given genus
    2025/03/18 by Maria Bras-Amorós, Bras-Amorós, Maria · 1 citation
    Computer Science · Decision Sciences · Mathematics · #05A99 #06F05 #20M14 #68W30 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Polynomial and algebraic computation #Scheduling and Timetabling Solutions
29. The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs
    2025/03/17 by Chau, Trung, Erey, Nursel, Maithani, Aryaman · 2 citations
    #05C65 #05C75 #05E40 #13D02 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
30. The Tate Intermediate Value Theorem
    2025/03/13 by Balmer, Paul, Sanders, Beren · 1 citation
    #Category Theory (math.CT) #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

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