001 Totally Positive Matrices and the Highest-Order Coefficients of the Characteristic Polynomial arXiv Paper T. Closs, Leandro Farina Jul 20 002 Ternary public-key cryptosystem arXiv Paper S. Duplij, Qiang Guo et al. Jun 5 003 Planning Neural Dynamics with Lie Group Embedding through Supervised Projective Manifold Learning arXiv Paper Tianwei Wang, B. Chen et al. May 24 004 Group-Algebraic Tensors: Provably-optimal Equivariant Learning and Physical Symmetry Discovery arXiv Paper Paulina Hoyos, Shashanka Ubaru et al. May 19 005 Module Lattice Security (Part IV): Probabilistic Polynomial Quantum Attack on Module-LWE over 2-Power Cyclotomics arXiv Paper Ming Luo May 17 006 Grokking Finite-Dimensional Algebra arXiv Paper Pascal Jr Tikeng Notsawo et al. Feb 23 007 UltraLIF: Fully Differentiable Spiking Neural Networks via Ultradiscretization and Max-Plus Algebra arXiv Paper J. M. Miñoza Feb 10 008 Certified Learning under Distribution Shift: Sound Verification and Identifiable Structure arXiv Paper Chandrasekhar Gokavarapu et al. Feb 6 009 First Proof arXiv Paper Mohammed Abouzaid et al. Feb 5 010 PALMA: A Lightweight Tropical Algebra Library for ARM-Based Embedded Systems arXiv Paper Gnankan Landry Regis N'guessan Jan 17 011 On Lie Groups Preserving Subspaces of Degenerate Clifford Algebras arXiv Paper E. R. Filimoshina et al. Jan 12 012 Merge on workspaces as Hopf algebra Markov chain arXiv Paper Matilde Marcolli et al. Dec 21, 2025 013 Cryptographic transformations over polyadic rings arXiv Paper Steven Duplij et al. Dec 14, 2025 014 KyFrog: A High-Security LWE-Based KEM Inspired by ML-KEM arXiv Paper Victor Duarte Melo et al. Dec 6, 2025 015 Extension Condition "violations" and Merge optimality constraints arXiv Paper Matilde Marcolli et al. Nov 27, 2025 016 Ternary Gamma Semirings as a Novel Algebraic Framework for Learnable Symbolic Reasoning arXiv Paper Chandrasekhar Gokavarapu et al. Nov 21, 2025 017 A Symmetric-Key Cryptosystem Based on the Burnside Ring of a Compact Lie Group arXiv Paper Ziad Ghanem Oct 13, 2025 018 Classification of small binary bibraces via bilinear maps arXiv Paper Roberto Civino et al. Oct 7, 2025 019 Polynomial Contrastive Learning for Privacy-Preserving Representation Learning on Graphs arXiv Paper Pandey, Daksh Sep 19, 2025 020 A Hybrid Framework for Healing Semigroups with Machine Learning arXiv Paper S. Sirikonda, Jasper van de Kreeke Sep 1, 2025 021 Computational Resolution of Hadamard Product Factorization for $4 \times 4$ Matrices arXiv Paper Igor Rivin Jul 31, 2025 022 Encoding syntactic objects and Merge operations in function spaces arXiv Paper Matilde Marcolli et al. Jul 17, 2025 023 Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles arXiv Paper Matilde Marcolli et al. Jul 8, 2025 024 Polyadic encryption arXiv Paper Steven Duplij et al. Jul 8, 2025 025 A Lie-algebraic perspective on Tree-Adjoining Grammars arXiv Paper Isabella Senturia, Elizabeth Xiao et al. Jul 4, 2025 026 Rises for Measuring Local Distributivity in Lattices arXiv Paper Mohammad Abdulla et al. Jun 29, 2025 027 Extending the ElGamal Cryptosystem to the Third Group of Units of $\Z_{n}$ arXiv Paper Jana Hamza et al. Apr 21, 2025 028 Analytically Informed Inverse Kinematics Solution at Singularities arXiv Paper Andreas Mueller Dec 29, 2024 029 Composing Global Solutions to Reasoning Tasks via Algebraic Objects in Neural Nets arXiv Paper Yuandong Tian Oct 2, 2024 030 Binary bi-braces and applications to cryptography arXiv Paper Roberto Civino et al. Apr 14, 2024 031 Position: Categorical Deep Learning is an Algebraic Theory of All Architectures arXiv Paper Bruno Gavranovic, Paul R. Lessard et al. Feb 23, 2024 032 Word Linear Complexity of sequences and Local Inversion of maps over finite fields arXiv Paper Virendra Sule Nov 11, 2023 033 Syntax-semantics interface: an algebraic model arXiv Paper Matilde Marcolli, Robert C. Berwick et al. Nov 10, 2023 034 Trace Monomial Boolean Functions with Large High-Order Nonlinearities arXiv Paper Jinjie Gao et al. Sep 20, 2023 035 Algebraic Models for Qualified Aggregation in General Rough Sets, and Reasoning Bias Discovery arXiv Paper A Mani Aug 30, 2023 036 Algebraic, Topological, and Mereological Foundations of Existential Granules arXiv Paper A Mani Aug 30, 2023 037 Discrete neural nets and polymorphic learning arXiv Paper Charlotte Aten Jul 29, 2023 038 On the Matrix Form of the Quaternion Fourier Transform and Quaternion Convolution arXiv Paper Giorgos Sfikas et al. Jul 4, 2023 039 BASS: Boolean Automorphisms Signature Scheme arXiv Paper Dima Grigoriev et al. Jun 20, 2023 040 Old and New Minimalism: a Hopf algebra comparison arXiv Paper Matilde Marcolli et al. Jun 17, 2023 041 Digital signature schemes using non-square matrices or scrap automorphisms arXiv Paper Jiale Chen et al. Jun 15, 2023 042 Mathematical Structure of Syntactic Merge arXiv Paper Matilde Marcolli et al. May 29, 2023 043 An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes arXiv Paper Alain Couvreur et al. May 2, 2023 044 Rough Randomness and its Application arXiv Paper Mani A Mar 21, 2023 045 A Transaction Represented with Weighted Finite-State Transducers arXiv Paper J. Nathaniel Holmes et al. Feb 1, 2023 046 An Unbounded Fully Homomorphic Encryption Scheme Based on Ideal Lattices and Chinese Remainder Theorem arXiv Paper Zhiyong Zheng et al. Jan 28, 2023 047 Representations of Domains via CF-approximation Spaces arXiv Paper Guojun Wu et al. Nov 19, 2022 048 Counting and Computing Join-Endomorphisms in Lattices (Revisited) arXiv Paper Carlos Pinzón et al. Nov 1, 2022 049 Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras arXiv Paper Martino Borello et al. Oct 21, 2022 050 Motion Polynomials Admitting a Factorization with Linear Factors arXiv Paper Zijia Li et al. Sep 6, 2022 051 A Multi-Bennett 8R Mechanism Obtained From Factorization of Bivariate Motion Polynomials arXiv Paper Johanna Frischauf et al. Aug 24, 2022 052 Granular Directed Rough Sets, Concept Organization and Soft Clustering arXiv Paper Mani A Aug 13, 2022 053 Skew differential Goppa codes and their application to McEliece cryptosystem arXiv Paper José Gómez-Torrecillas et al. Jul 28, 2022 054 Cryptanalysis of a System based on Twisted Dihedral Group Algebras arXiv Paper Simran Tinani Jul 22, 2022 055 Galois theory for analogical classifiers arXiv Paper Miguel Couceiro, Erkko Lehtonen May 9, 2022 056 Public key cryptography based on skew dihedral group rings arXiv Paper Javier de la Cruz et al. May 6, 2022 057 The Mathematics of Comparing Objects arXiv Paper Marcus Weber et al. Jan 14, 2022 058 An algebraic attack to the Bluetooth stream cipher E0 arXiv Paper Roberto La Scala et al. Jan 4, 2022 059 Public key cryptography based on twisted dihedral group algebras arXiv Paper Javier de la Cruz et al. Dec 14, 2021 060 Linear complementary dual code-based Multi-secret sharing scheme arXiv Paper Haradhan Ghosh et al. Dec 10, 2021