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Algebra

Differential Semigroups of Automaton Perturbations and Incremental Syntactic Reconstruction

This paper investigates the enumeration of elements in three classes of signed partial transformation semigroups: partial signed order-preserving, partial signed order-decreasing, and partial signed order-preserving-or-order-reversing transformations. It examines the reported PSPD₄ numerical inconsistency and develops a domain-rank framework for extending t…

KnowledgeTrend researcherInternational Journal of Mathematics and Statistics · 2026
Algebra & Cryptography

Homomorphism Counting, Fuzzy Group Actions and Conjugacy-Based Cryptography

A unified framework connecting finite algebraic structures, homomorphism enumeration, quotient constructions, fuzzy group actions and conjugacy-class methods. The work defines structural complexity indices and develops results for kernels, cyclic homomorphic images, fuzzy stabilizers and conjugacy-based key agreement.

KnowledgeTrend researcherKnowledgeTrend Research · 2026
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