algebra
=======

Algebraic structures.

* [priority](priority.lean) : priority for algebraic operations
* [relation](relation.lean)
* [binary](binary.lean) : binary operations
* [order](order.lean)
* [interval](interval.lean)
* [lattice](lattice.lean)
* [complete lattice](complete_lattice.lean)
* [galois_connection](galois_connection.lean)
* [group](group.lean)
* [group_power](group_power.lean) : nat and int powers
* [group_bigops](group_bigops.lean) : products and sums over lists, finsets and sets
* [ring](ring.lean)
* [ordered_group](ordered_group.lean)
* [ordered_ring](ordered_ring.lean)
* [field](field.lean)
* [ordered_field](ordered_field.lean)
* [module](module.lean) : modules, vector spaces, and linear maps
* [ring_power](ring_power.lean) : power in ring structures
* [ring_bigops](ring_bigops.lean) : products and sums in various structures
* [order_bigops](order_bigops.lean) : min and max over finsets and finite sets
* [bundled](bundled.lean) : bundled versions of the algebraic structures
* [monotone](monotone.lean) : monotone maps between order structures
* [homomorphism](homomorphism.lean) : homomorphisms between algebraic structures
* [category](category/category.md) : category theory (outdated, see HoTT category theory folder)