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Typed Congruences and Quotient-Critical Irreducibility in Complete Ternary -Semirings
Chandrasekhar Gokavarapu, Madhusudhana Rao Dasari
We study congruences and binary reducibility in completely additive ternary -semirings through their two-sorted atomic cores. For an odd , an abelian group of expone…
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…
Localization, Local--Global Transfer, and Hull Theory for -Modules over Commutative Rings
Chandrasekhar Gokavarapu
Let \(R\) be a commutative ring and \(M\) an \(R\)-module. We develop a localization and local-global theory for \(C4\)-modules, \(C4^{\ast}\)-modules, strongly \(C4^{\ast}\)-modul…
Morita Transport, Marked Projective Loci, and Dedekind Classification for C4-Type Conditionss
Chandrasekhar Gokavarapu, Sekhar Babu Gosala, Sudhakar Gadde +2
Objectwise Morita invariance of $\Cfour$ is known. We prove the corresponding statements for $\Cfourstar$, semi-weak-CS, and strongly $\Cfourstar$, including the chain joins in the…
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…