Algebrix

Algebrix is a personal practice project for implementing algebraic abstractions in Scala 3 using a typeclass-oriented design.

The goal is not to build a production-ready math library, but to practice modeling algebraic structures cleanly and explicitly.

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What this project is

• A Scala 3 playground for abstract algebra
• Focused on Semigroup → Ring → Module → Action
• Uses modern Scala 3 features (given, using, extension methods)
• Emphasizes clarity over performance or completeness

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What this project is not

• Not a general-purpose algebra library
• Not API-stable or extensible
• Not optimized or benchmark-driven
• Not intended for third-party use

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Project Structure (high level)

• algebrix.core – algebraic typeclasses, laws, and syntax
• algebrix.structures – concrete mathematical objects
• algebrix.instances – instances for existing Scala / Java types
• algebrix.examples – small demos and sanity checks

See docs/ARCHITECTURE.md for details.

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Motivation

This project exists purely as a learning exercise:

• to connect mathematical abstractions with Scala’s type system
• to understand how algebraic hierarchies compose in real code
• to explore Scala 3’s expressiveness for this style of modeling

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Status

Actively evolving, structure-first, experiment-driven.