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425 papers in math.RA · page 4
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Localization and w* fix isotropy of derivations on Ore extensions
On the isotropy of differential Ore extensions
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Lie quandles generalize Lie algebras to nonlinear mechanics
Lie Quandles, Leibniz Racks and Noether's First Theorem
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Endomorphisms lift iff they preserve Poisson structure on center
Hochschild cohomology and lifts of endomorphisms
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q-only formulas give Wedderburn form of Q[SL2(q)] and Q[PSL2(q)]
Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$
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Hopf algebra has Chevalley property iff discriminant ideals are trivial
Chevalley property of module-finite Hopf algebras and discriminant ideals
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G2-structures match octonion algebras over manifold functions
$G_2$-structures as Octonion Algebras
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Localization turns relative invariant algebra finite
Scalar relative differential invariants
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Localization makes relative differential invariants finitely generated
Scalar relative differential invariants
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The paper proves that every square matrix over a finite field of characteristic 2 with…
Matrices over Finite Fields of Characteristic 2 as Sums of Diagonalizable and Square-Zero Matrices
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Projectors capture all additive group codes in semisimple algebras
Projector additive group codes
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All 5D nilpotent Jordan superalgebras classified up to isomorphism
Varieties of nilpotent Jordan superalgebras of dimension five
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Weak approximation fails for adjoint groups over infinite fields
Failure of Weak Approximation in Adjoint Groups
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Lifting conditions let C4* module properties localize and globalize
Localization, Local--Global Transfer, and Hull Theory for $C4^{\ast}$-Modules over Commutative Rings
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Centralizers commute for nonscalars in mixed algebra coproducts
Commutativity of centralizers in a coproduct of a free algebra and a polynomial algebra
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Surjective map from submodule to module is always an isomorphism
A constructive proof of Orzech's theorem
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GAP package derives commutator relations in F4-graded groups
Symbolic computation in cubic Jordan matrix algebras and in related structures
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Global dimension finiteness is the same for every compact silting object
Global dimension of dg algebras via compact silting objects
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n- and m-homomorphisms add to (n+m) and compose to nm
Compositions of $n$-homomorphisms
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Lie's theorem extends to supertropical algebras
Lie's Theorem for Supertropical Algebra
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Growth entropy bounds categorical entropies for noncommutative algebras
Growth in noncommutative algebras and entropy in derived categories
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Additive surjections preserving strong orthogonality on C*-algebras classified
Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
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Mirror symmetry of uncertainty regions makes scaled relative graph separation necessary…
Symmetry Is Almost All You Need: Robust Stability with Uncertainty Induced by Symmetric SRG Regions
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Fueter theorems match one-to-one with Fueter trees
Fueter trees for Dunkl-regular functions over alternative *-algebras
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Graded equivalences match Morita contexts with surjective traces
Graded Equivalence for Graded Idempotent Rings
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Finitely generated symmetric operads have no GK dimension between 1 and 2
Symmetric operads of GK-dimension one
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Explicit resolutions compute extension dimensions for Leavitt modules
Homological properties of simple modules over Leavitt path algebras
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Explicit resolutions for simple modules over Leavitt path algebras
Homological properties of simple modules over Leavitt path algebras
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Three equivalent D-module categories model minimal representation
Geometrization of the Schr\"odinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting
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Graded semihereditary rings equal coherent ones with flat submodules
A characterization of monoid graded semihereditary rings
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Complete sets of idempotents constructed in quaternion symmetric powers
Orthogonal Idempotents in Symmetric Tensor Powers of Composition Algebras
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Original and dual contractions form real fibers in one algebraic family
Dual contractions and algebraic families
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Finite propagation without boundaries forces Bethe solvability
Why the Bethe Ansatz Works: A Structural Explanation via Interaction Propagation
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Functor orbits classify real Lie superalgebra modules
Classification of irreducible real modules of real Lie superalgebras
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The paper generalizes quasi-projective dimension from modules to complexes over…
Quasi-projective dimensions of complexes over rings
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One triality symbol builds each magic-square Lie algebra
Triality and the Magic Square of Hans Freudenthal
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Radical solvability requires solvable Galois groups
A necessary condition for solvability by radicals
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Finite-field extensions have subfields matching divisors of the degree
Galois theory for finite fields
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Perturbed Tomiyama maps receive explicit positivity conditions
Tomiyama-type maps with a diagonal perturbation
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BCH series converges near origin in quasi-Banach Lie algebras
Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications
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Drazin index of anti-triangular matrices bounded by block indices
On the Drazin Index of an Anti-Triangular Block Matrix
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Brauer group defined for dg-algebras and computed for dg-fields
Differential graded Brauer groups over dg-rings
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Complex character biset functor fails separability over Z
On the separability of some Green biset functors
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Skew quadrics have even Clifford algebras that are matrix algebras
A note on even Clifford algebras of skew quadric hypersurfaces
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Reduced unitary Whitehead group vanishes over p-adic curve fields
Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves
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Groupoids with universal Fibonacci sequences classified by size and period
Universal Fibonacci sequences and UFS-groupoids
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Cocycles twist bialgebroid antipodes via conjugation
Drinfeld-Xu bialgebroid 2-cocycles twist the antipode
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Nilpotent quotients block growth in approximate rings
On the structure of approximate rings
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Tensor product defined for profinitely many F2 vector spaces
Profinite tensor powers
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This paper derives explicit forms for the independent domination polynomial of the…
Independent domination polynomial of comaximal graphs of commutative rings
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Necklace Lie bialgebra of double quiver is biquantized
Biquantization of the necklace Lie bialgebra