1. 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
2. Realizing resolutions of powers of extremal ideals
   2025/02/13 by Chau, Trung, Duval, Art M., Faridi, Sara +3 · 2 citations
   #05E40 #13D02 #13F55 #52B20 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
3. Algebraic hyperbolicity of surfaces in Fano threefolds with Picard number one
   2025/02/10 by Seo, Haesong · 3 citations
   #13D02 #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics
4. Quasi-homogeneous singularities of projective hypersurfaces and Jacobian syzygies
   2025/02/10 by Andrade, Aline V., Beorchia, Valentina, Dimca, Alexandru +1 · 3 citations
   #13C14 #13D02 #14J10 #32S05 15A69 #32S25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 14H50 #Secondary 14B05
5. Explicit constructions of short virtual resolutions of truncations
   2025/01/12 by Heller, Lauren Cranton · 2 citations
   #13D02 #14M25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
6. Pseudo-Frobenius numbers and defining ideals in stretched numerical semigroup rings
   2025/01/11 by Van Kien, Do, Matsuoka, Naoyuki, Ozaki, Taiga · 1 citation
   #13A02 #13A30 #13D02 #13G05 #20M25 #Commutative Algebra (math.AC) #FOS: Mathematics
7. King's Conjecture and the Cox category
   2024/12/30 by Ballard, Matthew R., Berkesch, Christine, Brown, Michael K. +6 · 4 citations
   #13D02 #14F08 #14J33 #14M25 #16E35 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
8. Ischebeck's formula, grade and quasi-homological dimensions
   2024/12/09 by Jorge-Pérez, Victor H., Martins, Paulo, Mendoza-Rubio, Victor D. · 2 citations
   #13D02 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
9. Powers of Edge Ideals with Linear Quotients
   2024/12/04 by Etan Basser, Basser, Etan, Rachel N. Diethorn +4 · 1 citation
   Computer Science · Mathematics · #05E40 #13D02 #13F55 #13P20 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
10. Cochordal zero divisor graphs and Betti numbers of their edge ideals
    2024/11/08 by Dung, Le Xuan, Vu, Thanh · 1 citation
    #05E40 #13A70 #13D02 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
11. On the weak Lefschetz property for ideals generated by powers of general linear forms
    2024/10/29 by Pankaj Kumar Singh, Booth, Matthew D., Adela Vraciu +2 · 1 citation
    Engineering · Mathematics · #13C40 #13D02 #13E10 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #Scheduling and Optimization Algorithms
12. A new hierarchy for complex plane curves
    2024/10/15 by Abe, Takuro, Dimca, Alexandru, Pokora, Piotr · 3 citations
    #13D02 #32S22 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 14H50 #Secondary: 14B05
13. Rational Normal Curves in Weighted Projective Space
    2024/10/06 by Davis, Caitlin M., Sobieska, Aleksandra · 3 citations
    #13D02 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
14. A generalized depth formula for modules of finite quasi-projective dimension
    2024/09/13 by Jorge-Pérez, Victor H., Martins, Paulo, Mendoza-Rubio, Victor D. · 1 citation
    #13D02 #13D05 #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics
15. Set-Theoretically Perfect Ideals and Residual Intersections
    2024/09/09 by Hassanzadeh, S. Hamid · 1 citation
    #13C40 #13D02 #13D45 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics
16. Annihilators of (co)homology and their influence on the trace Ideal
    2024/09/07 by Justin Lyle, Sarasij Maitra, Lyle, Justin +1 · 2 citations
    Chemistry · #13C13 #13D02 #13D07 #Axial and Atropisomeric Chirality Synthesis #Commutative Algebra (math.AC) #FOS: Mathematics
17. GL-algebras in positive characteristic II: the polynomial ring
    2024/07/18 by Ganapathy, Karthik · 1 citation
    #13A50 #13C05 #13D02 #13D07 (Primary) #18G80 #20C20 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
18. A characterization of quasi-homogeneous singularities of free and nearly free plane curves
    2024/07/08 by Andrade, Aline V., Beorchia, Valentina, Miró-Roig, Rosa M. · 2 citations
    #13C40 #13D02 #15A69 #32S22 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary 14H50 #Secondary 14B05
19. Koszul-Tate resolutions and decorated trees
    2024/06/06 by Hancharuk, Aliaksandr, Laurent-Gengoux, Camille, Strobl, Thomas · 1 citation
    #13A15 #13D02 #14F08 #55P43 #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
20. Graded Betti numbers of powers of path ideals of paths
    2024/05/08 by Balanescu, Silviu, Cimpoeas, Mircea, Vu, Thanh · 1 citation
    #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics
21. Secant variety and syzygies of Hilbert scheme of two points
    2024/03/12 by Yoon, Chiwon, Seo, Haesong · 1 citation
    #13D02 #14C05 #14E05 #14N07 #Algebraic Geometry (math.AG) #FOS: Mathematics
22. Powers of edge ideals of edge-weighted trees
    2024/03/06 by Jiaxin Li, Guangjun Zhu, Li, Jiaxin +3 · 1 citation
    Mathematics · #13D02 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications #Primary 13A15 #Rings, Modules, and Algebras #Secondary 05E40
23. The multigraded BGG correspondence in Macaulay2
    2024/02/19 by Banks, Maya, Brown, Michael K., Gomes, Tara +3 · 1 citation
    #13D02 #14M25 #Commutative Algebra (math.AC) #FOS: Mathematics
24. The resolutions of generalized co-letterplace ideals and their powers
    2023/12/19 by Dancheng Lu, Lu, Dancheng, Zexin Wang +1 · 2 citations
    Computer Science · Mathematics · Medicine · #05E40 #13D02 #Cancer Treatment and Pharmacology #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
25. On modules whose dual is of finite Gorenstein dimension
    2023/12/11 by Victor D. Mendoza-Rubio, Mendoza-Rubio, Victor D., V. H. Jorge Pérez +1 · 1 citation
    Mathematics · #13C10 #13C14 #13D02 #13D07 #13H10 #14B05 #14B15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 13D45 #Secondary: 13D05
26. The Auslander-Reiten Conjecture, Finite C-Injective Dimension of Hom, and vanishing of Ext
    2023/12/10 by Victor D. Mendoza-Rubio, Mendoza-Rubio, Victor D., V. H. Jorge Pérez +1 · 1 citation
    Mathematics · #13C10 #13C14 #13D02 #13D07 #13H10 #14B15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 13D45 #Secondary: 13D05
27. A Uniform Identification of Stable Sheaf Cohomology
    2023/09/29 by Luca Fiorindo, Ethan Reed, Fiorindo, Luca +5 · 1 citation
    Mathematics · #05A19 #13D02 #14F06 #20G10 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
28. Depth of powers of edge ideals of Cohen-Macaulay trees
    2023/09/10 by Hang, Nguyen Thu, Hien, Truong Thi, Vu, Thanh · 2 citations
    #05E40 #13D02 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
29. Ring homomorphisms and local rings with quasi-decomposable maximal ideal
    2023/08/28 by Saeed Nasseh, Nasseh, Saeed, Keri Ann Sather‐Wagstaff +3 · 1 citation
    Computer Science · Mathematics · #13D02 #13D05 #13D07 #13H10 #18A30 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
30. Depth of powers of edge ideals of cycles and trees
    2023/08/01 by Minh, Nguyen Cong, Trung, Tran Nam, Vu, Thanh · 2 citations
    #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics

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