11 papers · 1 filter
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…
Central Splitting, Division-Stable Residuals, and Opposite-Ring Transfer for Strongly C4*-Rings
Chandrasekhar Gokavarapu, Naveen Kumar Kakumanu, Sajani Lavanya Madasi +2
The known decomposition theorem for strongly \(\Cfourstar\)-modules gives a semisimple summand and a summand-square-free residual summand, with two-way Hom-orthogonality when the a…
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…
Sheaf Theory and Derived Gamma Geometry over the Non-Commutative Gamma Spectrum
Chandrasekhar Gokavarapu
We develop the geometric and homological framework for non-commutative -ary -semirings by constructing a sheaf and derived theory over their non-commutative -spectrum. S…