output
20102026
most citedRobust seed selection algorithm for k-means type algorithms

16 citations

16 papers

math.RA2026

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…

math.RA2026

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…

math.RA2026

Ternary Idempotent -Semirings, Non-Reducibility, and Higher-Order Path Algebras

Chandrasekhar Gokavarapu, D. Madhusudhana Rao

Binary idempotent semirings govern classical path algebras. Their multiplicative structure is dyadic. We examine whether this restriction is structural or accidental. We define ter…

math.KT2025

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…

math.GM2025

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…

math.RA2025

Cyclic crossed-product envelopes and arity-detecting relative -theory of automorphism-derived -ary algebras

Chandrasekhar Gokavarapu, Sajani Lavanya Madasi, Madhusudhana Rao Dasari

Let . For a unital associative algebra , an automorphism , and satisfying and , we study the Hosszú--Gluskin-type pro…