Degenerations of Jordan algebras arXiv:2610.31179 From Quaternions to Pentarnions I: Algebra, geometry, and a spin model arXiv:2610.31485

Simple finite-dimensional binary Lie superalgebras arXiv:2610.30386 Classification of compatible left-symmetric conformal algebras on so... arXiv:2610.30471 A parametrization of nonassociative Petit algebras K[t;\sigma]/K[t:\... arXiv:2610.30921

Unitary similarity for dual complex matrices and dual quaternion mat... arXiv:2610.30060

Algebras with bounded multiplicities of the central cocharacters arXiv:2610.28885 A sharp weighted commutator inequality for rank-one matrices arXiv:2610.29240 Continuous spectrum-shrinking maps between finite-dimensional power-... arXiv:2610.29393

On the square of an isosimple module arXiv:2610.26905 The algebraic and geometric classification of post-3-Lie algebras arXiv:2610.27300 The Finite Basis Problem for Multiplicatively Idempotent Semirings arXiv:2610.27463

The two-step spectral locus of the octonionic structure operator arXiv:2610.26613

Classification of all non-split central extensions of naturally grad... arXiv:2610.25820 Dual Reflection Groups from Solutions to the Yang--Baxter Equation arXiv:2610.26042 A Non-linearizable Action of S_3 on Free Metabelian Lie and Associat... arXiv:2610.26060

Classification of Hom--Lie structures on finite-dimensional simple L... arXiv:2610.25056 The four-dimensional Sklyanin algebras revisited arXiv:2610.25541 2-Local Derivations on Conformal Galilei Lie Algebras and Their Cent... arXiv:2610.25808

A characterization of generalized derivations and biderivations on s... arXiv:2610.24868 Metric preservation under approximate algebraic laws arXiv:2610.24927 Rank and Border Rank Additivity of Complex Tensors with a Hankel Sum... arXiv:2610.24982

Derivations of the idealization of the incidence module over the fin... arXiv:2610.24120 Special identities of nonsymmetric bicommutative operations in assoc... arXiv:2610.24555 \frac{1}{2} derivations and biderivations of 3-dimensional nilpotent... arXiv:2610.24852

Quasi-derivations of the (extended) Schr\"odinger--Witt algebras arXiv:2610.23382 The semiring of spectral duality skeletons: cancellation, characters... arXiv:2610.23684

Point Modules of Non-Connected Graded Algebras arXiv:2610.23171 On the center of the Clifford Algebra arXiv:2610.23323 The algebraic and geometric classification of semi-alternative super... arXiv:2610.23350

A prime isoartinian ring that is not noetherian arXiv:2610.23129 Generalized Mock-Poisson Algebras: Constructions and Structural Prop... arXiv:2610.23143 Derivations and quasi-derivations of Block Lie superalgebras S(q) arXiv:2610.23150

An infinite completely normal basis theorem arXiv:2610.22247 Evolution algebras: a survey of results and a list of open problems arXiv:2610.22248

A proof of the interlacing conjecture for the singular values of Syl... arXiv:2610.21702 Automorphisms of Free Metabelian Lie Algebras, II arXiv:2610.21954 Ideals in Enveloping Algebras of Loop Algebras arXiv:2610.22040

Zhang twists for semigroups and groupoids, with applications to Stei... arXiv:2610.21005 Anti-successors and anti-replicators, Manin products and Koszul duality arXiv:2610.21365 Star-Ordered Rotor Loops in Clifford Algebras arXiv:2610.21593

Low-rank perturbation of symplectic matrices arXiv:2610.20646 Characterizations in terms of Generalized Inverses arXiv:2610.20760 Two Short Proofs of the A^A Theorem arXiv:2610.20802

The zero divisor and augmentation conjectures for medial quandle rings arXiv:2610.20306

Invariant factors from products of cyclotomic polynomials, with appl... arXiv:2610.19205 On the Fomin-Kirillov algebras arXiv:2610.20033 Identities and isomorphisms of finite graded matrix algebras arXiv:2610.20113

Okubo algebras and Exceptional Periodicity: tetracode gradings, root... arXiv:2610.18643 Classification of 3-dimensional unital commutative algebras arXiv:2610.18689