33 papers
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…
Alternating Quinary Cores of Complete Atomic Ternary -Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry
Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu
We identify the two-sorted atomic operation encoded by a ternary -product: an alternating quinary core. Its powerset complex is a completely additive ordered ternary -semir…
Smith-Orbit Classification of Extensions and Exact-Sequence Asymmetry for C4*-Modules
Chandrasekhar Gokavarapu
Let be a ring and let a -module mean a module all of whose submodules are -modules. We first determine its asymmetric exact-sequence behavior: kernel closure is…
Central Splitting, Division-Stable Residuals, and Opposite-Ring Transfer for Strongly C4*-Rings
Chandrasekhar Gokavarapu, Naveen Kumar Kakumanu, Sajani Lavanya Madasi +2
The known decomposition theorem for strongly \(\Cfourstar\)-modules gives a semisimple summand and a summand-square-free residual summand, with two-way Hom-orthogonality when the a…
Harmonic Analysis on Directed Networks via a Biorthogonal Laplacian Calculus for Non-Normal Digraphs
Chandrasekhar Gokavarapu, Komala Lakshmi Chinnam
Spectral graph signal processing is traditionally built on self-adjoint Laplacians, where orthogonal eigenbases yield an energy-preserving Fourier transform and a variational frequ…
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…