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This repository has been archived by the owner on Feb 8, 2022. It is now read-only.


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current status

The code in this repository was moved into Cats in cats#3918. All future development will occur there. Algebra will continue to release under the same artifact name and maintain binary compatibility with the 2.x series.

the vision

This repo represents an attempt to unify the basic algebraic type classes from Spire and Algebird. By targeting just these type classes, we will distribute an algebra package with no dependencies (except for cats-kernel) that works with Scala 2.11 and 2.12, which can be shared by all Scala libraries interested in abstract algebra.

Since the creation of Algebra, we have also decided to interoperate with the Cats project. Algebra and Cats interoperate using the cats-kernel module.

See the Algebra website for more information. The latest API docs are hosted at Algebra's ScalaDoc index.

getting algebra

Algebra supports Scala 2.11, 2.12 and 2.13 and is available from Sonatype (and Maven Central). In addition to the JVM, Algebra also supports Scala.js.

To use algebra in your own projects, include this snippet in your build.sbt file:

libraryDependencies += "org.typelevel" %% "algebra" % "2.0.0"

If you want to use Algebra's laws, you can include those as well with this snippet:

libraryDependencies += "org.typelevel" %% "algebra-laws" % "2.0.0"

what we have so far

This repo has been seeded with most of the contents of spire.algebra, and has been modified to fit an initially-conservative and shared vision for algebraic type classes. Discussions over removals and additions should take place on the issue tracker or on relevant pull requests.

Projects using Algebra


Anyone who wants to participate should feel free to open issues or send pull requests to this repo.

The following people are Algebra maintainers (i.e. have push access):

development process

Please make a pull request against the master branch. For those who can merge pull requests, we follow these rules:

  1. Do not merge your own PR unless N people have signed-off on the PR (e.g. given a thumbs-up, +1, shipit, etc) and Travis is green.

  2. If you are not the author, and you see (N - 1) sign-offs and Travis is green, just click merge and delete the branch.

  3. Currently, N = 2.

algebra overview

Algebra uses type classes to represent algebraic structures. You can use these type classes to represent the abstract capabilities (and requirements) you want generic parameters to possess.

For a tour of the Algebraic structures that algebra offers, see the extensive overview on the Algebra website.

Code of Conduct

See the Code of Conduct

Copyright and License

All code is available to you under the MIT license, available at and also in the COPYING file.

Copyright the maintainers, 2015-2016.