Is there a term for a magma $(M,*)$ that contains at least one left identity element, but not necessarily a right identity element? I'm looking for a term that requires only $$\exists e \in M \text{ such that},\, \forall a \in M,\, e*a = a.$$
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1I guess it could be called a left-unital magma. I don't know if there's a more standard name. – pregunton Dec 17 '21 at 21:15
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1There is no standard term for these magmas. – markvs Dec 21 '21 at 01:08