13 papers
A curvature-regularized variational problem with an area constraint
Chandrasekhar Gokavarapu
Interlocking interfaces are commonly employed to mitigate relative sliding under shear.Indeed, Their geometry is typically selected on grounds of fabrication convenience rather tha…
Massively Parallel Reductions in Multivariate Polynomial Systems: Bridging the Symbolic Preprocessing Gap on GPGPU Architectures
Chandrasekhar Gokavarapu
Gröbner basis computation over multivariate polynomial rings remains one of the most powerful yet computationally hostile primitives in symbolic computation. While modern algorithm…
Derived Gamma Geometry II: Stable -Categories of Gamma-Modules, Derived Monoidal Structures, and Obstructions to Binary Shadows
Chandrasekhar Gokavarapu
Let \(\T\) be a commutative ternary \(\Gm\)-semiring in the sense of the triadic, \(\Gm\)-parametrized multiplication \(\{a,b,c\}_γ\). Building on the affine \(\Gm\)-spectrum \(\Sp…
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…
Sheaf Theory and Derived Gamma Geometry over the Non-Commutative Gamma Spectrum
Chandrasekhar Gokavarapu
We develop the geometric and homological framework for non-commutative -ary -semirings by constructing a sheaf and derived theory over their non-commutative -spectrum. Sta…
Derived Functors, Resolutions, and Homological Dualities in n-ary Gamma-Semirings
Chandrasekhar Gokavarapu
This paper develops the homological backbone of the theory of non-commutative -ary -semirings. Starting from an -ary -semiring and its -ideals, we wo…