16 papers
Barr-Exactness and Congruence-Based Homological Algebra in Ternary -Semimodules
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Let be a ternary --semiring and let be the category of ternary --semimodules with the intrinsic five--ary action $T\times Γ\times M \times Γ\times T…
Relational Atomic Representations, Binary Reducibility, and Witness Profiles for Complete Ternary Gamma-Semirings
Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu
Let the carrier and index reducts of a ternary -semiring be complete atomic Boolean algebras and let its five-variable product preserve arbitrary joins. Atomic products need not…
Unified Geometric, Fuzzy, and Computational Framework for Ternary Gamma Semirings
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Aim. This paper (Paper D) unifies the ideal-theoretic, computational, and homological layers developed in Papers A (Rao 2025), B (Rao 2025), and C (Rao 2025) into a geometric frame…
Finite Structure and Radical Theory of Commutative Ternary -Semirings
Chandrasekhar Gokavarapu, D Madhusudhana Rao
Purpose: To develop the algebraic foundation of finite commutative ternary -semirings by identifying their intrinsic invariants, lattice organization, and radical behavior that…
Prime and Semiprime Ideals in Commutative Ternary -Semirings: Quotients, Radicals, Spectrum
Chandrasekhar Gokavarapu, Dr D Madhusudhana Rao
The theory of ternary -semirings extends classical ring and semiring frameworks by introducing a ternary product controlled by a parameter set . Building on the foundationa…
Universal Operator Envelopes and Defect Geometry of Additive Ternary -Modules
Chandrasekhar Gokavarapu, Madhusudhana Rao Dasari, Sajani Lavanya Madasi
For an additive ternary -ring , we construct an associative operator rng $\cO(T,Î)$ characterized by a universal property for the two-element, two-index operators occurring…