19 papers
Relational Atomic Representations, Binary Reducibility, and Witness Profiles for Complete Ternary Gamma-Semirings
Madhusudhana Rao Dasari, Chandrasekhar Gokavarapu
Let the carrier and index reducts of a ternary -semiring be complete atomic Boolean algebras and let its five-variable product preserve arbitrary joins. Atomic products need not…
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 Invariance, Categorical Obstructions, and Dimension Transfer for \texorpdfstring{}{C4}, \texorpdfstring{}{C4*}, Strongly \texorpdfstring{}{C4*}, and Semi-Weak-CS Modules
Chandrasekhar Gokavarapu
Let and be rings with equivalent module categories. We study the Morita behavior of the conditions , , strongly , and semi-weak-CS. The point is c…
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…
Universal Operator Envelopes and Defect Geometry of Additive Ternary -Modules
Chandrasekhar Gokavarapu, Madhusudhana Rao Dasari, Sajani Lavanya Madasi
For an additive ternary -ring , we construct an associative operator rng $\cO(T,Î)$ characterized by a universal property for the two-element, two-index operators occurring…