13 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…
Alternating Quinary Cores of Complete Atomic Ternary -Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry
Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu
We identify the two-sorted atomic operation encoded by a ternary -product: an alternating quinary core. Its powerset complex is a completely additive ordered ternary -semir…
Ternary Idempotent -Semirings, Non-Reducibility, and Higher-Order Path Algebras
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
Binary idempotent semirings govern classical path algebras. Their multiplicative structure is dyadic. We examine whether this restriction is structural or accidental. We define ter…
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…
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…