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425 papers in math.RA · page 5
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Multinorm one tori are stably rational when d equals 1
The rationality problem for multinorm one tori, II
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Frobenius quotient maps three-weight line bundles to monomorphism grids
Frobenius quotients, inflation categories and weighted projective lines
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Fiberwise THH transfer rationally modeled by Sullivan algebra transfers
A rational model for the fiberwise THH transfer I: Sullivan algebras
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Explicit resolutions and Betti numbers computed for Ore extension
A note on explicit homological invariants of graded double Ore extensions
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Only Boolean finite MV-effect algebras admit S1-S4 operations
The first fatal axiom for weakened sequential products on finite MV-effect algebras: Local obstruction, exact low-rank classification, and the rank-one boundary case
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TLS core problems split into unique irreducible components
Unitary-Invariant Decomposition of Reducible Total Least Squares Core Problems
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Point modules over color Lie enveloping algebras are classified
Point modules over the universal enveloping algebras of color Lie algebras
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Planar aromatic trees span free algebra for manifold integrators
The free tracial post-Lie-Rinehart algebra of planar aromatic trees for the design of divergence-free Lie-group methods
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Rank-3 lifts force Ω(q^8) cross-ratio defects in plane matrices
Residue Constraints in the Rank-Three Lifting Problem for Projective-Plane Incidence Matrices
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Galois cohomology rings arise as colimits of finite Koszul subalgebras
Asymptotic Universal Koszulity in Galois Cohomology
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Reflexive relations complete rough sets to Kleene algebras
Kleene and Stone algebras of rough sets induced by reflexive relations
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Recursion on finite subsets forces empty product to equal the identity
Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is $1$
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Left (n,d)-coherent rings characterized by bounded-dimension modules
$(n,d)$-Coherent Rings
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Almost Poisson algebras embed into bracket algebras via averaging
$D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
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Proflat epimorphisms make contramodule restriction fully faithful
Homomorphisms of topological rings and change-of-scalar functors
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Six-element semiring SR_6 generates limit variety
A new limit variety of additively idempotent semirings
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Aromatic indices reduce volume preservation to one dimension
Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings
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Formula gives tensor-product decomposition for non-projective F S_p modules
Tensor Product and the Stable Green Ring of the Symmetric Group Algebra $F\mathfrak{S}_p$
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Weaker conditions transfer right C4* properties to the left
Left--right Transfer for $C4^{\ast}$-Rings Beyond the Regular Case
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C4-type module conditions survive Morita equivalence
Morita Invariance, Categorical Obstructions, and Dimension Transfer for \texorpdfstring{$C4$}{C4}, \texorpdfstring{$C4^{\ast}$}{C4*}, Strongly \texorpdfstring{$C4^{\ast}$}{C4*}, and Semi-Weak-CS Modules
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Monoid-graded rings characterized as hereditary via module criteria
On monoid graded semihereditary rings
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Grokking follows from learning algebra structure tensors
Grokking Finite-Dimensional Algebra
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Orthomodular lattices equate to T-based dynamic algebras
On $\mathscr{T}$-based orthomodular dynamic algebras
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Pargraph chip-firing recovers classical toric ideals
Restricted Chip-Firing: Toric Toppling Ideals, Picard Groups, and Cellular Resolutions
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Power monoids display unusual factorization behaviors
Power monoids and their arithmetic: a survey
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Algebraic conditions decide all finite-domain CSP complexity
Graph Homomorphisms and Universal Algebra
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Firm modules enable separable functors for nonunital rings
Separable functors and firm modules
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Lean formalizes Gröbner bases for rings with any number of variables
Formalizing Gr\"obner Basis Theory in Lean
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Codifferential calculi reduce to subbicomodule classification
Bicovariant Codifferential Calculi
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Semi-free DG rings make simplicial hom sets into Kan complexes
The Simplicial Cylinder DG Ring
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Projective modules need at least three maximal submodules
Similar submodules of projective modules
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Three conditions set when finite-depth Algebraic Phase Theory applies
A Structural Criterion for the Applicability of Algebraic Phase Theory
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Rules on simples turn length categories into poset representations
Ordnung muss sein
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Heap polymorphism metaproblem is NP-complete
The complexity of finding coset-generating polymorphisms and the promise metaproblem
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Left Ehresmann monoids with proper bases equal Q_ℓ(T,X,Y)
Left Ehresmann monoids with a proper basis
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New method classifies every 3D derived Jordan algebra
The algebraic and geometric classification of derived Jordan and bicommutative algebras
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Type A3 cluster monomials are log-concave and unimodal
Log-concavity and unimodality of cluster monomials of type $A_3$
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Equivariant Nijenhuis operators extend Lie bialgebras via r-matrices
Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures
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APT phases reconstruct from filtered data and boundaries
Duality, Reconstruction, and Structural Toolkit Theorems in Algebraic Phase Theory
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Algebraic phases yield rigidity islands after boundary failures
Boundary Calculus, Rigidity Islands, and Deformation Theory in Algebraic Phase Structures
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Universal algorithm yields initial dialgebras for any algebra variety
Varieties of initial dialgebras and some of their Koszul dual operads
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Okubo algebra graphs have at most two shortest paths
On orthogonality graphs of Okubo algebras
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Fixed odd exponents force rings to commute
Elementary proofs of ring commutativity theorems
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Solve polynomial equations over split-octonions on any field
On polynomial equations over split-octonions: the arbitrary field case
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Explicit second Hochschild cohomology for bipartite Brauer graph algebras
The second Hochschild cohomology and deformations of Brauer graph algebras
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Cofibrant operads equate localized dg-coalgebras to ∞-coalgebras
Point-set models for homotopy coherent coalgebras
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Logic for repeated experiments built from any base logic
The universal logic of repeated experiments
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Boolean polynomial semiring primes fall into three integer classes
Prime ideals in the Boolean polynomial semiring
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GCD ratio map equals 1 with density 0.88151
On the Limiting Density of a gcd Map
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Diophantine problem over power circuits is undecidable
On the Diophantine problem related to power circuits