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category-theory's Introduction

Category Theory

Wiki

A little bit of theory

Books:

Professor Frisby's Mostly Adequate Guide to Functional Programming

Docs:

FantasyLand

Functional Programming Jargon

Static Land Specification

Videos:

Brian Lonsdorf - Oh Composable World!

A Million Ways to Fold in JS

Brian Beckman: Don't fear the Monad

Courses:

Category Theory

Professor Frisby Introduces Composable Functional JavaScript

Blogs

Monads in C#

The Marvels of Monads

Javascript Functor, Applicative, Monads in pictures

Algebra

Binary Operation

Binary Operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set.

bynop

Аssoсiаtivе

Аssoсiаtivе is a property of some binary operations.

associative

Commutative

Commutative is when the order of the operands does not change the result.

commutative

Semigroup

Semigroup is an algebraic structure consisting of a set together with an associative binary operation

semigroup

Identity element

Identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

captu123re

Monoid

Monoid is an algebraic structure with a single associative binary operation and an identity element.

monoid

Identity Examples

identity

Group-like structures

Group-like structures

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