28 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…
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…
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…
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…