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425 papers in math.RA · page 2

  1. math.RA 2026-05-10 reviewed
    Bicommutative varieties with cubic identities fully classified

    Varieties of bicommutative algebras with identity of degree three

    Vesselin Drensky +1

  2. math.CO 2026-05-10 reviewed
    Okubo algebra recovers E8 Gosset polytope from cubic lattice gluing

    Integral Shell Polytopes of Composition Algebras

    Daniele Corradetti

  3. math.RA 2026-05-10 reviewed
    Commutator of order n implies matrix ring if idempotents meet condition

    Commutators of finite multiplicative order

    Arijit Mukherjee +2

  4. math.RA 2026-05-10 reviewed
    Coxeter-Dickson E8 order closes under para-octonions

    Integral elements of Okubo algebra and the E8-lattice

    Daniele Corradetti

  5. math.RA 2026-05-10 reviewed
    Nilpotent Rota-Baxter algebras have finite Gröbner-Shirshov bases

    A Gr\"obner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight Zero

    H. Alhussein

  6. math.RA 2026-05-10 reviewed
    Nilpotent Rota-Baxter algebras get explicit normal forms

    A Gr\"obner--Shirshov Basis for Nilpotent Rota--Baxter Algebras of Weight Zero

    H. Alhussein

  7. math.CT 2026-05-09 reviewed
    Simple pp expansions match mono-reflective subcategories

    A categorical description of simple Beth companions

    Luca Carai +2

  8. math.NT 2026-05-09 reviewed
    Merkurjev construction yields non-R-trivial similitudes in degree 6

    Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$

    M. Archita +1

  9. math.RA 2026-05-09 reviewed
    Factor systems classify strongly graded rings up to isomorphism

    Factor systems and geometric structures of strongly graded rings

    Joakim Arnlind +1

  10. cs.DS 2026-05-08 reviewed
    Algorithm computes Hermite form of relation lattices at matrix mult cost

    Computing bases in Hermite normal form of lattices of integer relations

    George Labahn +1

  11. math.RA 2026-05-08 reviewed
    Square commutativity forces additive maps to be scaled homo-anti-homo sums

    Commutativity preserving mappings in Banach algebras

    M. Bre\v{s}ar +3

  12. math.RT 2026-05-08 reviewed
    Homotopy colimits realize silting objects for nested t-structures

    Limits and colimits in silting theory with applications to the wall and chamber structure of an algebra

    Rosanna Laking +1

  13. math.RA 2026-05-08 reviewed
    Opposite brace triples equate to Hopf braces under cocommutativity

    Opposite brace triples, Hopf braces and matched pairs of Hopf algebras

    Ram\'on Gonz\'alez Rodr\'iguez +1

  14. math.RA 2026-05-07 reviewed
    Distinct cardinalities force monoid automorphisms to act on separate factors

    Automorphism groups of direct products of multiplicative monoids of certain rings

    Joseph Atalaye +2

  15. math.RA 2026-05-07 reviewed
    Automorphisms of product monoids split by component when sizes differ

    Automorphism groups of direct products of multiplicative monoids of certain rings

    Joseph Atalaye +2

  16. math.RA 2026-05-07 reviewed
    Max dimension of char-2 matrix spaces with at most two eigenvalues is determined

    Spaces of matrices with few eigenvalues (II)

    Cl\'ement de Seguins Pazzis

  17. math.RA 2026-05-07 reviewed
    Mean weak length is additive on exact sequences

    Mean weak length

    Zihan Bai +1

  18. math.RA 2026-05-06 reviewed
    Every odd-dimensional contact Lie algebra deforms quadratically from Heisenberg

    Contact and 2-compatible Lie algebras

    Elisabeth Remm

  19. math.KT 2026-05-06 reviewed
    The paper shows that the algebraic K-theory groups of the thick subcategory generated by…

    Algebraic $K$-theory, cohomotopy $K$-groups, and Koszul duality

    Xiaojun Chen +2

  20. math.RA 2026-05-06 reviewed
    Derivatives cut symmetric realizations to diagonals in char 2

    Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach

    Soumya Sinha Babu +1

  21. math.RA 2026-05-06 reviewed
    Partition categories get faithful zero-one matrix reps

    Faithful linear and relational representations of diagram categories and monoids

    James East +2

  22. math.RA 2026-05-06 reviewed
    Complete non-perfect Lie algebras exist with only inner derivations

    On Lie Algebras with Only Inner Derivations

    Bakhrom Omirov +1

  23. math.RA 2026-05-06 reviewed
    Polynomial images generate simple algebras

    On the structural behavior of images of polynomials

    Tsiu-Kwen Lee +1

  24. math.RA 2026-05-05 reviewed
    Star-product yields central series for cocommutative Hopf braces

    Central series of cocommutative Hopf braces

    Maria Bevilacqua +2

  25. math.RA 2026-05-05 reviewed
    Generalized Jordan form classifies matrices over any field

    A Generalised Jordan Normal Form and Its Computation Over Finite Fields

    Alia Bonnet

  26. math.RA 2026-05-05 reviewed
    Bahturin-Regev conjecture holds under characteristic condition

    On Regular Quantum Commutative Algebras

    Yuri Bahturin +2

  27. math.RA 2026-05-05 reviewed
    Greatest-solution method extends to symmetrized and supertropical semirings

    Solving one-sided linear systems over symmetrized and supertropical semiring

    Sulaiman Alhussaini +1

  28. math.RT 2026-05-05 reviewed
    Side-preserving duality induces self-bijection on definable subcategories

    Revising Auslander-Gruson-Jensen duality

    Ramin Ebrahimi +2

  29. math.RT 2026-05-05 reviewed
    Simple description of free abelian category clarifies duality

    Revising Auslander-Gruson-Jensen duality

    Ramin Ebrahimi +2

  30. cs.IT 2026-05-04 reviewed
    Linear and cyclic codes defined over Z2[u,v] quotient ring

    Linear and cyclic codes over some special rings

    Cristina Flaut +1

  31. math.RA 2026-05-04 reviewed
    Split extensions of Hom-Jacobi-Jordan algebras match their second cohomology

    Non-abelian extensions of Hom-Jacobi-Jordan algebras

    Nejib Saadaoui

  32. math.CO 2026-05-04 reviewed
    Conjugate pairing in Fourier slices yields real t-product factorizations

    Real tensor factorizations and generalized inverses under the $t$-product

    Faustino Maciala +2

  33. math.CT 2026-05-04 reviewed
    Gorenstein injective cotorsion pairs complete iff Tate trivial generators exist

    Accessibility and Gorenstein injective envelopes

    Sergio Estrada +1

  34. math.CO 2026-05-04 reviewed
    G-self-dual codes' enumerators span Clifford-Weil invariants

    Self-dual codes with group actions and invariants

    Futo Takabayashi

  35. math.AC 2026-05-03 reviewed
    Quasi-Gorenstein morphisms get Gorenstein characterization

    Quasi-Gorenstein morphisms of commutative local dg-algebras

    Zachary Nason +2

  36. math.RA 2026-05-03 reviewed
    Poisson n-Lie algebras correspond to ordinary Poisson algebras

    Poisson $n$-Lie algebras: constructions and the structure of solvable algebras

    Xinru Cao +2

  37. math.RA 2026-05-03 reviewed
    Constructions link Poisson algebras to Poisson n-Lie algebras

    Poisson $n$-Lie algebras: constructions and the structure of solvable algebras

    Xinru Cao +2

  38. math.AG 2026-05-02 reviewed
    n-step matrix factorizations match root stack singularity categories

    An Orlov theorem for matrix factorizations with multiple factors

    Alessandro Lehmann +1

  39. math.AG 2026-05-02 reviewed
    Polynomial algorithm canonicalizes bundles on anisotropic conics

    An algorithmic reduction to canonical forms for vector bundles on anisotropic conics

    Eoin Mackall +1

  40. math.RA 2026-05-02 reviewed
    Matrix subalgebras cannot be smaller than n by n up to size 13

    Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds

    Ma{\l}gorzata Nowak-K\k{e}pczyk

  41. math.RA 2026-05-02 reviewed
    Matrix subalgebras dimension at least n for n up to 13

    Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds

    Ma{\l}gorzata Nowak-K\k{e}pczyk

  42. math.RA 2026-05-01 reviewed
    Criterion decides when As∘Var is nonsymmetric

    Nonsymmetric versions of binary quadratic operads

    F. A. Mashurov +1

  43. math.RA 2026-05-01 reviewed
    Noetherian Hopf algebras still lack a general finite injective dimension proof

    Report on $AS$-Gorenstein Hopf algebras

    Ken A. Brown

  44. math.RA 2026-05-01 reviewed
    Power set ring ideals define limit points for group topology

    On local function, an algebraic approach

    Monoj Kumar Das +1

  45. math.RA 2026-05-01 reviewed
    Morita relation orders π-systems in Kac-Moody algebras

    On ${\pi}$-systems of symmetrizable Kac-Moody algebras

    K.N.Raghavan +2

  46. math.AC 2026-05-01 reviewed
    Hilbert-Serre rings obey dim ≤ GKdim ≤ Poincaré pole order

    On Krull's Dimension Theorem for Certain Graded Rings and Its Applications

    Rirai Ikeda

  47. math.RA 2026-04-30 reviewed
    Finite words with f(n) ≤ n take explicit periodic forms

    Combinatorics on finite words and the length of a finite-dimensional associative algebra

    M.A. Khrystik

  48. math.RA 2026-04-30 reviewed
    Identities imply vanishing products of derivatives in perm algebras

    Identities in differential perm algebras

    F.A. Mashurov +1

  49. math.RA 2026-04-30 reviewed
    Fixed-point-free automorphisms force Lie algebras to be strongly unimodular

    Fixed-point-free automorphisms of solvable Lie algebras

    Dietrich Burde +1

  50. math.CO 2026-04-30 reviewed
    Finer equivalence makes combinatorial games a ring

    A Ring structure on the Class of Combinatorial Games

    Harry Altman +1