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math.RA2026
Typed Congruences and Quotient-Critical Irreducibility in Complete Ternary -Semirings
Chandrasekhar Gokavarapu, Madhusudhana Rao Dasari
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…
math.RA2026
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…
math.RA2026
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…