1. A Counterexample to the Global Injectivity of a Jacobian Mapping in ℂ⁵ and Its Analytical Roots
   2026/07/22 by Sergey Sverchkov · 1 voice
   #math.AC #math.AG #math.RA
2. Small Counterexamples to the Gaussian Moments Conjecture
   2026/07/20 by Christopher D. Long · 1 voice · 1 citation
   #math.PR #math.AC #math.AG
3. A Course in Ring Theory
   2025/12/10 by David Krumm · 1 voice
   #math.RA #math.AC
4. On cohomology of locally profinite sets
   2024/11/08 by Ko Aoki, Aoki, Ko · 1 citation
   #math.LO #math.AC #math.AT #math.GN
5. On the Tambara Affine Line
   2024/10/30 by David Chan, David Mehrle, Chan, David +7 · 1 voice · 3 citations
   #math.AT #math.AC #math.AG #math.GR
6. Early proofs of Hilbert's Nullstellensatz
   2023/09/25 by Jan Stevens, Stevens, Jan · 1 voice
   Mathematics · #Advanced Topics in Algebra #History and Theory of Mathematics #Mathematics and Applications #math.AC #math.AG #math.HO
7. Difference varieties and the Green-Lazarsfeld Secant Conjecture
   2023/07/26 by Gavril Farkas · 1 citation
   Computer Science · Mathematics · #math.AG #math.AC
8. On singular Hilbert schemes of points: Local structures and tautological sheaves
   2021/01/13 by Xiaowen Hu · 1 citation
   Mathematics · Computer Science · Physics and Astronomy · #math.AG #math.AC
9. The Gaussian Moments Conjecture and the Jacobian Conjecture
   2015/06/17 by Harm Derksen, Arno van den Essen, Wenhua Zhao · 1 voice · 3 citations
   #math.AC #math.PR #math.ST
10. A general framework for applying FGLM techniques to linear codes
    2005/09/08 by M. Borges-Quintana, M. A. Borges-Trenard, Borges-Quintana, M. +4 · 1 citation
    Computer Science · Mathematics · #Coding theory and cryptography #Cryptography and Residue Arithmetic #Polynomial and algebraic computation #math.AC #math.CO #msc:13P10 #msc:94B05
11. Groebner bases and combinatorics for binary codes
    2005/09/08 by M. Borges-Quintana, Borges-Quintana, M., M. A. Borges-Trenard +5 · 1 citation
    Mathematics · #13P10 #94B05 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13P10 #msc:94B05
12. Reverse Lexicographic and Lexicographic Shifting
    2005/07/27 by Eric Babson, Babson, Eric, Isabella Novik +3 · 1 citation
    Computer Science · Mathematics · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Tensor decomposition and applications #math.AC #math.CO #msc:05E02 #msc:13C02
13. Link complexes of subspace arrangements
    2005/07/15 by Axel Hultman, Hultman, Axel · 1 citation
    Mathematics · #13F55 #14N20 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13F55 #msc:14N20
14. The strong Lefschetz property and simple extensions
    2005/06/27 by Juergen Herzog, Dorin Popescu, Herzog, Juergen +1 · 1 citation
    Computer Science · Mathematics · #13C40 #13D07 #13D40 #13P10 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:13C40 #msc:13D07 #msc:13D40 #msc:13P10
15. Combinatorial secant varieties
    2005/06/12 by Bernd Sturmfels, Sturmfels, Bernd, Seth Sullivant +1 · 2 citations
    Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AC #math.AG #math.CO
16. An elementary, explicit, proof of the existence of Hilbert schemes of points
    2005/06/09 by Trond Gustavsen, Dan Laksov, Gustavsen, Trond +3 · 1 citation
    Mathematics · #14C05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:14C05
17. Codimension and connectedness of degeneracy loci over local rings
    2005/06/06 by Hubert Flenner, Flenner, Hubert, Bernd Ulrich +1 · 1 citation
    Mathematics · #13C15 #13C40 #14M12 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C15 #msc:13C40 #msc:14M12
18. Homological invariants associated to semi-dualizing bimodules
    2005/05/23 by Tokuji Araya, Araya, Tokuji, Ryo Takahashi +3 · 2 citations
    Mathematics · #13D05 #13H10 #16E05 #16E10 #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13D05 #msc:13H10 #msc:16E05 #msc:16E10
19. Stanley--Reisner rings with large multiplicities are Cohen--Macaulay
    2005/03/10 by Naoki Terai, Ken-ichi Yoshida, Terai, Naoki +1 · 1 citation
    Mathematics · #13F55 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13F55 #msc:13H10
20. On the upper semi-continuity of the Hilbert-Kunz multiplicity
    2005/02/14 by Florian Enescu, Enescu, Florian, Kazuma Shimomoto +1 · 2 citations
    Mathematics · #13A35 #13D10 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A35 #msc:13D10 #msc:13H15
21. Syzygy modules with semidualizing or G-projective summands
    2005/01/21 by Ryo Takahashi, Takahashi, Ryo · 3 citations
    Mathematics · #13C13 (Primary) 13D02 #13D05 #13H05 #13H10 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C13 #msc:13D02 #msc:13D05 #msc:13H05 #msc:13H10
22. The Betti numbers of forests
    2005/01/14 by Sean Jacques, Jacques, Sean, Mordechai Katzman +1 · 3 citations
    Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.CO #msc:05C05 #msc:05E99 #msc:13D02 #msc:13F55
23. A sum of squares approximation of nonnegative polynomials
    2004/12/20 by Jean B. Lasserre, Lasserre, Jean B. · 2 citations
    Mathematics · #11E25 #12D15 #12Y05 #13P05 #90C22 #90C25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:11E25 #msc:12D15 #msc:12Y05 #msc:13P05 #msc:90C22 #msc:90C25
24. Gaps in Hochschild cohomology imply smoothness for commutative algebras
    2004/12/13 by Luchezar Avramov, Luchézar L. Avramov, Srikanth B. Iyengar +3 · 1 citation
    Mathematics · #13D03 #14B25. Secondary: 14M10 #16E40 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:13D03 #msc:14B25. #msc:14M10 #msc:16E40
25. On the radical of a monomial ideal
    2004/12/07 by Juergen Herzog, Herzog, Juergen, Yukihide Takayama +3 · 1 citation
    Mathematics · #13A02 #13D02 #13D40 #13P10 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:13A02 #msc:13D02 #msc:13D40 #msc:13P10
26. Independence of the total reflexivity conditions for modules
    2004/10/11 by David Jorgensen, Jorgensen, David, Liana Sega +1 · 2 citations
    Mathematics · #13D02 #13D07 #13D25 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D02 #msc:13D07 #msc:13D25
27. The depth of powers of an ideal
    2004/09/10 by Juergen Herzog, Takayuki Hibi, Herzog, Juergen +1 · 3 citations
    Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.CO #msc:13C15 #msc:13P10
28. Cohen-Macaulay Polymatroidal Ideals
    2004/09/07 by Juergen Herzog, Herzog, Juergen, Takayuki Hibi +1 · 1 citation
    Mathematics · #05B35 #13C14 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.CO #msc:05B35 #msc:13C14
29. Bernstein-Sato polynomials of arbitrary varieties
    2004/08/30 by Nero Budur, Budur, Nero, Mircea Mustata +3 · 4 citations
    Mathematics · #32S40 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:32S40
30. Conic divisor classes over a normal monoid algebra
    2004/08/09 by Winfried Bruns, Bruns, Winfried · 1 citation
    Mathematics · #13C14 #13C20 #14M25 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13C14 #msc:13C20 #msc:14M25

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