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math.RA2025
Exact Categories and Homological Foundations of Non-Commutative n-ary Gamma. Semirings
Chandrasekhar Gokavarapu
This paper establishes the homological and geometric foundations of non-commutative n-ary Gamma-semirings, unifying two previously distinct directions in Gamma-algebra: the derived…
math.RA2025
Construction and Decoding of Error--Correcting Codes from Ideal Lattices of Finite Ternary Gamma Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper introduces a new class of error-correcting codes constructed from the ideal lattices of finite commutative ternary Gamma-semirings (TGS). Unlike classical linear or ring…
math.RA2025
Ternary Gamma Semirings as a Novel Algebraic Framework for Learnable Symbolic Reasoning
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
Binary semirings such as the tropical, log, and probability semirings form a core algebraic tool in classical and modern neural inference systems, supporting tasks like Viterbi dec…