5 papers · 1 filter
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…
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…
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…