5 papers
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…
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…
A Ternary Gamma Semiring Framework for Solving Multi-Objective Network Optimization Problems
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
Classical shortest-path methods rely on binary tropical semirings , whose dyadic structure limits them to pairwise cost interactions. However, many real-world systems, in…
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…
Operational Regimes of Ternary -Semiring Chemical Systems
Chandrasekhar Gokavarapu, Venkata Rao Kaviti, Srinivasa Rao Thirunagari +2
Ternary -semiring chemical systems provide an algebraic language in which mediators such as catalysts, solvents, inhibitors, thermodynamic conditions, and external fields enter…