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425 papers in math.RA · page 6
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Faithful isofibrations to monoids yield canonical differential calculi
Canonical differential calculi via functorial geometrization
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Tensor product preserves Lie nilpotency under commutator conditions
Tensor products of Lie nilpotent associative algebras and applications to codimension sequences
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Implicit operations are partial functions preserved by homomorphisms
The theory of implicit operations
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Moduli stacks of quiver connections are algebraic in char 0
Moduli stacks of quiver connections and non-Abelian Hodge theory
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Jordan form of f(A) derivative set by A's blocks and f
The Jordan canonical form of the Fr\'{e}chet derivative of a matrix function and the bivariate Jordan problem
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Quiver down-up algebras are noetherian and twisted Calabi-Yau
Quiver down-up algebras of type A
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SL(8,R) yields 1441 classes of semisimple fourvector orbits
Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space
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Soluble ranked Lie rings contain Cartan subrings
Cartan subrings in soluble ranked Lie rings
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Nilpotent algebras have local derivations that are not derivations
The relationship between local derivations and local automorphisms of some associative algebras
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Abelianization of special derivation Lie algebras is infinite
On the abelianization of the special derivation Lie algebras of free Lie algebras
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Chemical states and catalysts share one algebraic structure
Axiomatic Foundations of Chemical Systems as Ternary $\Gamma$-Semirings
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Functions preserve matrix positivity in every dimension
The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings
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Path algebra of n-cycle shares all polynomial identities with n x n matrices
Polynomial identities for quivers via incidence algebras
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Toric Fano stacks classify d-tilting line bundles for Picard numbers 1 and 2
Higher representation infinite algebras and toric Fano stacks of Picard number one or two
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Upper sets classify toric NCCRs for rank-one class groups
Non-commutative crepant resolutions of toric singularities with divisor class group of rank one
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Weak del Pezzo surfaces are exactly those with 2-tilting bundles
Weak del Pezzo surfaces are characterized by the existence of $2$-tilting bundles
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n-kernels exist exactly when n-cokernels do
On the equivalence between the existence of $n$-kernels and $n$-cokernels
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Traces of matrix powers satisfy a Cayley-Hamilton relation over rings
The trace Cayley-Hamilton theorem
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Cyclic Hopf-Galois structures uniform across parallel prime power extensions
Hopf--Galois structures of cyclic type on parallel extensions of prime power degree
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Quantization conditions fix arities for polyadic group rings
Higher power polyadic group rings
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Diderivations unify operators across dialgebras
Derivations in Dialgebras Derivations and Biderivations in Dialgebras
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Commutators determine simultaneous triangularization over max-algebras
Simultaneous triangularization over max-algebras
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Mirabolic quantum MU(n) has all finite-dimensional reps classified
Representation theory of mirabolic quantum $\mathfrak{sl}_n$
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Explicit solutions for singular Sylvester equations in quaternions
On solutions of singular Sylvester equations in quaternions
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Normalization lemma holds for iterated skew polynomial rings
Noether's normalization in iterated skew polynomial rings
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Wronskians define N-ary brackets in polynomial analogues of sl(2)
Wronskians as $N$-ary brackets in finite-dimensional analogues of $sl(2)$
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Algebraic singular functions not dense in C*-singular ideal
Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions
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Rigid presentations admit orthogonal projection functors to perpendicular subcategories
On the Orthogonal Projections
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Entrywise maps preserving sign regularity fully classified
Entrywise preservers of sign regularity
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Approximate prime ideals are closed under the ring closure operator
Approximate Algebra via Closure Operators: An Axiomatic Theory of Modules and Geometry
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Non-associative superalgebra encodes generalised Lie derivatives
Non-associative structures in extended geometry
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Deligne-Simpson problem solved via root system test
The Deligne-Simpson Problem
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Noncommutative conic pencils classified same as 4D Frobenius algebras
Noncommutative affine pencils of conics
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Digraphs dualize every lattice
Dual spaces of lattices and semidistributive lattices
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Tractable temporal and phylogeny languages admit 4-ary pseudo-Siggers polymorphisms
When Darwin met Ianus: dichotomies of expressivity
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Lie-Leibniz triples integrate to local group-rack triples
An integration of Lie-Leibniz triples
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Infinite sums alone yield a refined topology and new quotients
Algebraization of infinite summation
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Complete local rings always split unit groups as direct product
Splitting in a complete local ring and decomposition its group of units
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Largest unit affine subspaces in simple algebras have explicit dimensions
Affine subspaces of units in simple algebras
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Isometry equals equivalence for most skew constacyclic codes
When isometry and equivalence for skew constacyclic codes coincide
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Algebraic Dirac operators prove Vogan conjecture for module families
Dirac operators for algebraic families
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Pseudotrace equates symmetric functionals on Morita-related algebras
Pseudotraces on Almost Unital and Finite-Dimensional Algebras
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Complements of maximal sublattices are intervals
Conjecture on Maximal Sublattices of Finite Semidistributive Lattices and Beyond
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Non-commutative q-Painlevé system recovered from Weyl group via surface theory
On a non-commutative sixth $q$-Painlev\'e system: from discrete system to surface theory
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Explicit Runge-Kutta schemes made nearly symmetric
Explicit and Effectively Symmetric Runge-Kutta Methods
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Groupoid homology matches graded K0 of Kumjian-Pask algebras
Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras
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Graded homology equals K-theory for higher-rank graph algebras
Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras
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Flat A-modules are direct summands of induced flat R-modules
A relative version of Bass' theorem about finite-dimensional algebras
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Lie algebra Droms analogue holds only over prime field F2
Restricted graph Lie algebras in characteristic two
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Every ideal action is coherent in ideally exact categories
Coherent and ideal actions in ideally exact categories