1 citations · 1 across the 20 of their papers we have counts for
22 papers
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…
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…
Quintessence Dynamics of Generalized Holographic Ricci Dark Energy in Gravity: Stability, Phase-Space Attractor, and Statefinder Analysis
S. V. Gore, A. Y. Shaikh, S. M. Shingne +1
The cosmological dynamics of generalized holographic Ricci dark energy (GHRDE) of Xu type, embedded within power-law teleparallel gra…
Bilinear Systems with Quadratic Outputs: Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions
Heike Faßbender, Serkan Gugercin, Till Peters
Bilinear systems with quadratic outputs (BQO) have recently emerged as an important system class, arising naturally in applications where both the dynamics and the quantities of in…
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…
Fundamental Theorems in the K-Theory of Gamma Semirings: Additivity, Localization, and Dévissage
Chandrasekhar Gokavarapu
Building on the Waldhausen and Quillen models of higher algebraic -theory for exact categories and Waldhausen categories attached to a non-commutative -ary $\Ga$-semiring $(T…
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…
Exact Categories and Homological Foundations of Non-Commutative n-ary Gamma. Semirings
Chandrasekhar Gokavarapu
This paper establishes the homological and geometric foundations of non-commutative n-ary Gamma-semirings, unifying two previously distinct directions in Gamma-algebra: the derived…
Construction and Decoding of Error--Correcting Codes from Ideal Lattices of Finite Ternary Gamma Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper introduces a new class of error-correcting codes constructed from the ideal lattices of finite commutative ternary Gamma-semirings (TGS). Unlike classical linear or ring…
A Ternary Gamma Semiring Framework for Solving Multi-Objective Network Optimization Problems
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
Classical shortest-path methods rely on binary tropical semirings , whose dyadic structure limits them to pairwise cost interactions. However, many real-world systems, in…
Ternary Gamma Semirings as a Novel Algebraic Framework for Learnable Symbolic Reasoning
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
Binary semirings such as the tropical, log, and probability semirings form a core algebraic tool in classical and modern neural inference systems, supporting tasks like Viterbi dec…
Structure and Spectral Theory of Non-Commutative and -ary -Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper develops the structural and spectral foundations of noncommutative and n-ary Gamma semirings, extending the commutative ternary framework established in earlier studies.…
Derived -Geometry, Sheaf Cohomology, and Homological Functors on the Spectrum of Commutative Ternary -Semirings
Chandrasekhar Gokavarapu, D. Madhusudhana Rao
This paper develops a comprehensive geometric and homological framework for derived Gamma-geometry, extending the theory of commutative ternary Gamma-semirings established in our e…
Operational Regimes of Ternary -Semiring Chemical Systems
Chandrasekhar Gokavarapu, Venkata Rao Kaviti, Srinivasa Rao Thirunagari +2
Ternary -semiring chemical systems provide an algebraic language in which mediators such as catalysts, solvents, inhibitors, thermodynamic conditions, and external fields enter…
Universal Operator Envelopes and Independent Arithmetic Defects of Additive Ternary Gamma-Rings
Chandrasekhar Gokavarapu, Sajani Lavanya Madasi, Madhusudhana Rao Dasari
For an additive ternary -ring , we construct the associative rng generated by the two-element, two-index operators on ternary modules and compare it with its realization on t…
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…
Bilinear Quadratic Output Systems and Balanced Truncation
Heike Faßbender, Serkan Gugercin, Till Peters
Dynamical systems with quadratic outputs have recently attracted significant attention. In this paper, we consider bilinear dynamical systems, a special class of weakly nonlinear s…
Bipath Persistence as Zigzag Persistence
Ángel Javier Alonso, Enhao Liu
Persistence modules that decompose into interval modules are important in topological data analysis because we can interpret such intervals as the lifetime of topological features…
Interval Replacements of Persistence Modules
Hideto Asashiba, Etienne Gauthier, Enhao Liu
Persistence modules indexed by finite posets arise in topological data analysis. Unlike in the one-parameter case, they need not decompose into interval modules. Interval replaceme…
Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems
Katerina V. Sklyar, Svetlana Yu. Ignatovich
We present the conditions under which the time-optimal control problem for a nonlinear non-autonomous linearizable system can be solved by the method of successive approximations,…
A Hales--Jewett type property of finite solvable groups
Vassilis Kanellopoulos, Miltiadis Karamanlis
A conjecture of Leader, Russell and Walters in Euclidean Ramsey theory says that a finite set is Ramsey if and only if it is congruent to a subset of a set whose symmetry group act…