7 papers
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…
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…
Structure and Spectral Theory of Non-Commutative and -ary -Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper develops the structural and spectral foundations of noncommutative and n-ary Gamma semirings, extending the commutative ternary framework established in earlier studies.…
Derived -Geometry, Sheaf Cohomology, and Homological Functors on the Spectrum of Commutative Ternary -Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper develops a comprehensive geometric and homological framework for derived Gamma-geometry, extending the theory of commutative ternary Gamma-semirings established in our e…