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. First Proof
   2026/02/05 by Mohammed Abouzaid, Andrew J. Blumberg, Martin Hairer +8 · 23 voices
   #cs.AI #math.AG #math.CO #math.GT #math.HO #math.RA
3. A Course in Ring Theory
   2025/12/10 by David Krumm · 1 voice
   #math.RA #math.AC
4. Position: Categorical Deep Learning is an Algebraic Theory of All Architectures
   2024/02/23 by Bruno Gavranović, Paul Lessard, Gavranović, Bruno +9 · 2 voices · 5 citations
   Computer Science · Engineering · Mathematics · #Artificial Intelligence (cs.AI) #Category Theory (math.CT) #Data Visualization and Analytics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Psychiatry, Mental Health, Neuroscience #Rings and Algebras (math.RA) #Urban Design and Spatial Analysis #cs.AI #cs.LG #math.CT #math.RA #stat.ML
5. A Prolog assisted search for new simple Lie algebras
   2022/07/03 by David Cushing, D. H. Cushing, Cushing, David +5 · 1 voice · 1 citation
   Medicine · #Multiple Myeloma Research and Treatments #cs.LO #math.RA
6. Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra
   2019/08/10 by Peter Denton, Peter B. Denton, Stephen Parke +3 · 3 voices · 3 citations
   Computer Science · Mathematics · #Mathematical functions and polynomials #Matrix Theory and Algorithms #Tensor decomposition and applications #hep-ph #hep-th #math-ph #math.RA
7. Linear systems over join-blank algebras
   2017/10/10 by Hayden Jananthan, Suna Kim, Jeremy Kepner · 1 voice
   Computer Science · Mathematics · #Formal Methods in Verification #Logic, programming, and type systems #Software System Performance and Reliability #math.RA
8. Galois Theory of Algorithms
   2010/10/29 by Noson S. Yanofsky, Yanofsky, Noson S. · 4 voices
   #math.RA #cs.DM #cs.LO #math.CT #math.GR
9. The Leavitt path algebra of a graph
   2005/09/21 by G. Abrams, Abrams, G., G. Aranda Pino +1 · 7 citations
   Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
10. Cluster categories and duplicated algebras
    2005/09/21 by Ibrahim Assem, Assem, Ibrahim, Thomas Brüstle +5 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
11. On associated variety for Lie superalgebras
    2005/07/11 by M. Duflo, Duflo, M., V. Serganova +1 · 2 citations
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
12. Filter Dimension
    2005/06/03 by V. Bavula, Bavula, V. · 1 citation
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
13. From triangulated categories to cluster algebras
    2005/06/01 by Philippe Caldero, Bernhard Keller, Caldero, Philippe +1 · 3 citations
    Mathematics · Physics and Astronomy · #16G20 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G20 #msc:18E30
14. 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
15. Contractors and connectors of graph algebras
    2005/05/10 by Laszlo Lovasz, Lovasz, Laszlo, Balazs Szegedy +1 · 1 citation
    Mathematics · #05C99 #16S99 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CO #math.RA #msc:05C99 #msc:16S99
16. The module structure of the Solomon-Tits algebra of the symmetric group
    2005/05/09 by Manfred Schocker, Schocker, Manfred · 1 citation
    Mathematics · #16W30 #17A30 #20F55 (Secondary) #20M30 (Primary) 05E15 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:05E15 #msc:16W30 #msc:17A30 #msc:20F55 #msc:20M30
17. Quasi-finite algebras graded by Hamiltonian and vertex operator algebras
    2005/05/04 by Atsushi Matsuo, Matsuo, Atsushi, Kiyokazu Nagatomo +3 · 3 citations
    Mathematics · #13J99 #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:13J99 #msc:17B69
18. Multilinear function series and transforms in free probability theory
    2005/04/18 by Ken Dykema, Dykema, Ken · 2 citations
    Mathematics · #05A05 #16W60 #46L54 #Combinatorics (math.CO) #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #math.CO #math.OA #math.RA #msc:05A05 #msc:16W60 #msc:46L54
19. Enveloping algebras of Slodowy slices and the Joseph ideal
    2005/04/17 by Alexander Premet, Premet, Alexander · 1 citation
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
20. Non-cyclotomic Presentations of Modules and Prime-order Automorphisms of Kirchberg Algebras
    2005/04/14 by Jack Spielberg, Spielberg, Jack · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Finite Group Theory Research #math.OA #math.RA
21. Local theory of almost split sequences for comodules
    2005/04/05 by William Chin, Chin, William, Mark Kleiner +3 · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #math.RA #math.RT #msc:16G70 #msc:16W30
22. Ideal classes of three dimensional Sklyanin algebras
    2005/03/31 by K. De Naeghel, M. Van den Bergh · 1 citation
    Mathematics · #math.RA #math.AG #msc:16D25 #msc:16S38 #msc:18E30
23. Brauer algebras, symplectic Schur algebras and Schur-Weyl duality
    2005/03/24 by Richard Dipper, Dipper, Richard, Stephen Doty +3 · 1 citation
    Mathematics · #16G99 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G99
24. Locally extended affine Lie algebras
    2004/12/15 by Jun Morita, Yoji Yoshii, Morita, Jun +1 · 1 citation
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
25. 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
26. A Class of Ring-like Objects
    2004/11/26 by Keqin Liu, Liu, Keqin · 1 citation
    Mathematics · #20N99 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:20N99
27. On some finite dimensional representations of symplectic reflection algebras associated to wreath products
    2004/11/12 by Silvia Montarani, Montarani, Silvia · 1 citation
    Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
28. Non-abelian extensions of topological Lie algebras
    2004/11/11 by Karl-Hermann Neeb, Neeb, Karl-Hermann · 1 citation
    Mathematics · #17B40 #17B55 #17B65 #17B66 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:17B40 #msc:17B55 #msc:17B65 #msc:17B66
29. Rational Cherednik algebras and Hilbert schemes II: representations and sheaves
    2004/10/12 by I. Gordon, Iain J. Gordon, Gordon, I. +2 · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT
30. Cluster algebras as Hall algebras of quiver representations
    2004/10/07 by Philippe Caldero, Frederic Chapoton, Caldero, Philippe +1 · 5 citations
    Mathematics · #FOS: Mathematics #MSC 2000 : 16G20 16G70 18E30 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G20 #msc:16G70 #msc:18E30 #msc:2000

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