17 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…
Typed Congruences and Quotient-Critical Irreducibility in Complete Ternary -Semirings
Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu
We study congruences and binary reducibility in completely additive ternary -semirings through their two-sorted atomic cores. For an odd , an abelian group of expone…
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…
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…