About a type of integral domains I was reading the notes about factorization written by Pete L. Clark and I found that he uses the name "EL-domain" to refer to those integral domains in which every irreducible element is prime (page 16).

So my question is: is the name "EL-domain" an accepted terminology? I made some google search and I haven't found anything. Perhaps this terminology has been used in some papers, but I don't know. Any help is appreciated.


It stands for "Euclid's Lemma" as Pete mentions here.. As I mention there, they are more commonly called AP-domains (Atoms are Prime) in the literature on factorization theory.
Remark $\ $ See this answer for common names of many closely related properties.
