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425 papers in math.RA · page 3
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Nullity of A2 decides when A1 X^k + A2 Y^k covers all n x n matrices
Polynomial Maps with Constants on Matrix Algebra
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Unique generic module builds all torsionfree divisible modules
From finite to infinite length modules over tame hereditary algebras
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Rota-Baxter operators deform matrices for sliding-mode stability
Study of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control
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Power semigroups of numerical semigroups have trivial automorphism groups
On the automorphisms of the power semigroups of a numerical semigroup
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Obstruction class decides when derivations lift through Lie algebra extensions
Non-abelian Extensions of Lie algebras with derivations
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Silting subcategory finiteness equivalent to t-structure restriction
Metrics on triangulated categories and restrictions of (co)-$t$-structures
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The paper examines the exterior spinor model S = wedge V(W) for the standard hyperbolic…
Exterior-Model Spinors in Split Rank: Exact Levi Images and Square-Determinant Obstructions
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Simple transposed Poisson algebras are all W_n(q) mutations
On simple transposed Poisson algebras
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Continuous ring unit groups lack non-trivial unitary representations
Unitary representations and von Neumann's continuous geometries
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Haskell package manipulates tree and graph algebras symbolically
Arboretum.hs: Symbolic manipulation for algebras of graphs
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Three DGA equivalence problems shown to be undecidable
Undecidability problems for semifree DG algebras
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Nilpotency of transposed Poisson algebras equals nilpotency of left multiplications
Nilpotency and Frattini theory for transposed Poisson algebras
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Orbit atom spectrum subsets classify tensor torsion-free classes
Atom spectra of symmetric monoidal abelian categories and classification of subcategories
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Loop homology of polyhedral products decomposes as colimit
A colimit decomposition for the loop homology of polyhedral products
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A∞-algebras model rational fiberwise THH transfer
A rational model for the fiberwise THH transfer II: $A_\infty$-algebras
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Graphs produce k-step nilpotent symplectic Lie algebras
$k$-step nilpotent symplectic Lie algebras associated with graphs
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Every lim¹ group equals the cokernel of a module to its completion
The structure of $\lim^1$-groups
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Generalized associativity strictifies F1 hyper-addition to group addition
Hyper-Operations and Extension of Scalars from $\mathbb{F}_1$ to $\mathbb{Z}$
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1960s uniqueness condition for Euclidean division still holds
A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
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Dual compiler extracts exact Lie derivatives for neural barriers
Extracting Exact Lie Derivatives Without Backpropagation: A Dual Compiler for Neural Control Barrier Functions
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Ring with finitely many zero-divisors is finite with bounded order
Rings with finitely many zero divisors
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Maximal commutative subalgebras in M_6 have dimension at least 6
On the minimal dimension of maximal commutative subalgebras of $M_6(k)$
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Left and right ranks match for quaternion Hankel matrices
On the rank of quaternion Hankel matrices
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Left and right ranks match for quaternion Hankel matrices
On the rank of quaternion Hankel matrices
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Affine supertrusses yield affine superbraces
Affine Supertrusses and Superbraces
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Supertrusses yield superbraces and generalize Yang-Baxter to superschemes
Affine Supertrusses and Superbraces
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Compact simple Lie skew braces are trivial or have simple groups
On simple compact Lie skew braces
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Helix endomorphism algebras on elliptic curves are quotients by normal elements
Three-periodic helices on elliptic curves and their associated regular algebras
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Quantizations of GL_N nilpotent orbits fully classified in positive characteristics
Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics
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Zero-entropy automorphisms satisfy volume growth bound d + k(k+2)/4
A lower bound for polynomial volume growth of automorphisms of zero entropy
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Gap forbids intermediate volume growth for zero-entropy automorphisms
A lower bound for polynomial volume growth of automorphisms of zero entropy
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Lambda-construction globalizes partial actions on non-associative algebras
Globalization of Partial Group Actions on Not Necessarily Associative Algebras and Covariant Representations
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Left modularity equals extremality in key infinite lattice families
Left modularity and extremality for (some) infinite lattices
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Trivial extensions of Koszul AS algebras match derived categories
Trivial extensions of Koszul Artin-Schelter regular algebras
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AB5 categories can have no non-zero injectives
Injectivity paucity in AB5 categories of oversize chains
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Constants in Jacobson radicals of q-skew Ore extensions are nil
On a $q$-Skew Amitsur's Theorem
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Free Poisson algebra with Rota-Baxter operator is constructed
Free Poisson Rota-Baxter algebra
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Border subrank computed exactly for higher-order algebra tensors
Border subrank of higher order tensors and algebras
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Summand-lifting stabilizes C4*-modules under exact sequences
Exact-Sequence Stability and Ambient Realizations for $C4^{\ast}$-Modules
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New homomorphisms fix solubility equivalence for braces and solutions
Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
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New package computes path signature tensors in Julia
SignatureTensors.jl: A Package for Signature Tensors in Julia
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Change-of-rings theorems bound small finitistic dimension
Change-of-Rings Theorems for the Small Finitistic Dimension
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Hyper operators equate symplectic and Hessian structures on Lie algebras
Hyper relative differential operators on Lie algebras
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Skew polynomial fractions yield nonaffine division algebras
`New' examples of skew fields not finitely generated as algebras
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Type semigroups get explicit formulas for self-similar graph actions
An introduction to separated graphs and their type semigroups
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Separable extensions preserve homological invariants in triangulated categories
Homological Aspects of Separable Extensions of Triangulated Categories
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Witt algebra local half-derivations reduce to ordinary ones
Local and 2-local $\frac{1}2$-derivations of infinite-dimensional Lie algebras
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Seaweeds are rigid exactly when indecomposable
Rigidity and Cohomology of Seaweed Lie Algebras
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Jordan multiplications generate every linear map on matrices
The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup
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Jordan map property extends to n-Jordan maps under ring conditions
A note on $n$-Jordan homomorphisms