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425 papers in math.RA · page 7
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Every matrix over fields of size 5+ is diagonalizable plus square-zero sum
Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
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Special monoids inherit bi-FP_n from their unit groups
Two-sided homological properties of special and one-relator monoids
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Acyclic complexes mark non-commutative Gorenstein rings
Totally acyclic complexes and homological invariants over arbitrary rings
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Discriminant zero loci must contain identity orbits in these Hopf algebras
Chevalley property and discriminant ideals of Cayley-Hamilton Hopf Algebras
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Quaternion outer inverses unify Moore-Penrose
Structure Preserving Algorithms for Quaternion Outer Inverses with Applications
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Line axioms in liners yield quasi-fields and loops
Linear Geometry and Algebra
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Every prepositive cone is maximal for many quaternion algebras
Maximal prepositive cones on quaternion algebras with involution
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Polyadic rings admit base-p numeral systems with fixed operation lengths
Positional numeral systems over polyadic rings
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Cyclic Rota-Baxter structure on one algebra yields pre-Calabi-Yau on its pair partner
From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
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Sylow theorem holds for finite skew braces under listed conditions
On the Sylow Theorem for Skew Braces
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Double star-product on algebra induces star-products on representations
What is a double star-product?
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Witt rings with up to 128 square classes all fit the elementary type
Normal Quaternionic Matrices and Finitely Generated Witt Rings
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Every ordinal is the order of a differential operator on infinite polynomials
Torsion modules and differential operators in infinitely many variables
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Independence polynomials bound abelian subalgebras in nilpotent Lie algebras
Independence Polynomials of 2-step Nilpotent Lie Algebras
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Explicit bracket formula given for E8 using triality
The bracket of the exceptional Lie algebra E8
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Hopf actions on Koszul algebras give all PBW deformations
Deformation Theory and Hopf Actions on Koszul Algebras
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Nondiagonal pre-Nichols algebras have infinite GK dimension
On the classification of finite GK-dimensional pre-Nichols algebras and quasi-quantum groups
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Trace dual generators found for skew cyclic codes
The trace dual of nonlinear skew cyclic codes
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Relation category unifies graph-to-algebra functors
Relation morphisms of directed graphs
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Bivariate monomial ideal powers get explicit generators after a threshold
Minimal generating sets of large powers of bivariate monomial ideals
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Exact Borel subalgebras stay compatible with idempotents in stratified algebras
Exact Borel subalgebras, idempotent quotients and idempotent subalgebras
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Torus-invariant Poisson deformations are unobstructed when weights are independent
Deformations of T-log-symplectic log-canonical Poisson structures and symmetric Poisson CGL extensions
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Unital algebras represent their own actions
On the representability of actions of unital algebras
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Balanced pairs induce Quillen equivalences on chain homotopy categories
Quillen equivalence for chain homotopy categories induced by balanced pairs
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Contact relation cannot define interior-connectedness
On Nondefinability of Interior-Connectedness via the Contact Relation
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Finite W-algebras produce only almost polynomial generalized varieties
Multipliers, $W$-algebras and the growth of generalized polynomial identities
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Group actions on quivers yield skew-symmetrizable cluster algebras
Group actions on relative cluster categories and Higgs categories
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Irreducible Perron semigroups share a common invariant cone
Perron matrix semigroups
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Formula gives new boundary operators after Morse cancellation
Cancellation of a critical pair in discrete Morse theory and its effect on (co)boundary operators
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Higher-order Weyl algebras deform nontrivially as hom-associative algebras
The higher-order hom-associative Weyl algebras
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Poset of connected pieces yields unifying connectivity taxonomy
What is Connectivity?
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Cut-edges and centers of Γ(ℤ_n) are identified
Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n
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Finite outer automorphism groups preserve bi-orders only under classified conditions
Order-Preserving outer automorphisms of free and surface groups
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Nilpotency criterion holds for alternative superalgebras over any field
Engel's Theorem for Alternative Superalgebras
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Cocycles equip anti-associative algebras with dendriform splits
Anti-associative dendriform algebras
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Arborification map turns tree integrals into words for PDE cancellations
Cancellations for dispersive PDEs with random initial data
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Tilting bundles prove derived equivalence for G₂† flop
Derived equivalence for the simple flop of type $G_2^{\dagger}$ via tilting bundles
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t-STP couples cubic matrix dynamics across subsystems
t-Product and t-STP of Cubic Matrices With Application to Hyper-Networked Systems
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All twisted derivations classified in algebraic integer rings
Twisted Derivations in Algebraic Number Fields
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All (σ, τ)-derivations on quadratic integer rings are explicit
$({\sigma}, {\tau})$-Derivations of Number Rings with Coding Theory Applications
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Noncommutative resolutions of AS-Gorenstein singularities are AS-regular algebras
Noncommutative resolutions of AS-Gorenstein isolated singularites
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Truncated tensors yield Jordan ring for solvable Leibniz algebras
Tensor products of Leibniz bimodules and Grothendieck rings
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Multi-indices compute symmetry space dimensions for gKPZ
Symmetries for the gKPZ equation via multi-indices
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Grün's lemma analog holds for perfect two-sided skew braces
On Gr\"{u}n's lemma for perfect skew braces
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Nonempty semigroups lack Tarski prime objects
On semigroups that are prime in the sense of Tarski, and groups prime in the senses of Tarski and of Rhodes
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Automorphism groups recover monomial ideals in local algebras
Finite-dimensional monomial algebras are determined by their automorphism group
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Filtrations on local rings form a geodesic metric space with lattice
On the geometry of spaces of filtrations on local rings
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Zero-entropy automorphisms have volume growth at most d squared
An upper bound for polynomial volume growth of automorphisms of zero entropy
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Permutation quotients have canonical singularities in any characteristic
Quotient singularities by permutation actions are canonical
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Twist of post-Hopf product gives combinatorial antipode
On the sub-adjacent Hopf algebra of the universal enveloping algebra of a post-Lie algebra