The Collaborative International Dictionary
Abelian
Abelian \A*bel"i*an\, Abelite \A"bel*ite\, Abelonian \A`bel*o"ni*an\, n. (Eccl. Hist.) One of a sect in Africa (4th century), mentioned by St. Augustine, who states that they married, but lived in continence, after the manner, as they pretended, of Abel.
Wiktionary
abelian
a. (context mathematics English) Having a commutative defining operation. (Mid 19th century.)(R:SOED5: page=3)
Wikipedia
Abelian
In mathematics, abelian refers to any of number of different mathematical concepts named after Niels Henrik Abel:
Usage examples of "abelian".
Nearly twenty years before, when he was still a baby in his milk-stained furs, a star in the Abelian Group had exploded into a supernova.