I was trying to find (and failed) the original author of either


* the concept of Monoid (set with binary associative operation and identity)
* the name (which sounds french ? and also [Dioid](https://fr.m.wikipedia.org/wiki/Dio%C3%AFde) (for what seems to be a semiring) is exclusively french wiki article)


Question:


Is there a text source to attribute the invention of either the name or concept of [monoid](/questions/tagged/monoid "show questions tagged 'monoid'") to a person or a group (pun intended) ?



Who invented Monoid?
The name "monoid" was first used in mathematics by Arthur Cayley [\*] for a surface of order $n$ which has a multiple point of order $n-1$.


In the context of semigroups the name is due to Bourbaki [[source](https://www.researchgate.net/publication/226480216_The_Early_Development_of_the_Algebraic_Theory_of_Semigroups), page 30]



> 
> It is also worth commenting on the related term monoid, meaning an
>  associative magma with identity. This term is a little more recent
>  than semigroup, and seems to originate with Bourbaki [\*\*]. Before
>  this, Birkhoff (1934) was using the term groupoid for an associative
>  magma with identity.
> 
> 
> 


Dov Tamari [[source](https://www.sciencedirect.com/science/article/pii/S0049237X08719220), page 1] argues that Bourbaki "probably intended to abolish the term semigroup for reasons of linguistic taste."


[\*] A. Cayley, Second and Third Memoirs on Skew Surfaces, Otherwise Scrolls, Phil. Trans. (1863 and 1869).  

[\*\*] N. Bourbaki, Éléments de Mathématique, Algèbre, Hermann, Paris (1943): Chapter I, §2.


