Definitions
Century Dictionary and Cyclopedia
- n. A member of a religious sect which arose in northern Africa in the fourth century. The Abelians married, but lived in continence, after the manner, as they maintained, of Abel, and attempted to keep up the sect by adopting the children of others. They are known only from the report of St. Augustine, written after they had become extinct. Also called
Abelite and Abelonian. - Of or pertaining to the Norwegian mathematician Niels Henrik Abel (1802–1829).
Wiktionary
- adj. mathematics, dated Alternative capitalization of abelian
- n. Roman Catholicism, historical A member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel.
GNU Webster's 1913
- 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.
Etymologies
- From Abel + -ian. (Wiktionary)
Examples
“Modules over more general rings do not necessarily have a basis, and those that do are called Abelian Groups”
“The nice thing about Abelian grapes is that they taste just the same, no matter what order you eat them in.”
“Abelian group: group theory is the simplest branch of abstract algebra, and one of the basic divisions is between Abelian groups (named for Abel), where the order of operations doesn't matter (they 'commute'), and non-Abelian groups, where order does matter.”
“Graydon@178: I think the Abelian grape is my favorite.”
“PS: Keep forgetting to mention how much I like the Abelian grapes.”
“The Abelian heretics of Africa abstained from women because Abel died virginal.”
“In fact, if the only issue in the Clay prize were the UV limit of non-Abelian gauge theory, Tadeusz Balaban would probably already have won the million (see references in above review), using renormalization group methods.”
“Indeed, from a categorical point of view, a Cartesian product in set theory, a direct product of groups (Abelian or otherwise), a product of topological spaces, and a conjunction of propositions in a deductive system are all instances of a categorical product characterized by a universal property.”
“For example, given a finite Abelian group, how can it be decomposed into a product of certain of its subgroups?”
“From then on, a specific category of structures, e.g., a category of sheaves over a topological space X, could be seen as a token of an abstract category of a certain type, e.g., an Abelian category.”
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Math Eponyms
List of mathematical terms, functions, theorems, &c. named after or in honor of a person or persons.
MacDonald identity, Cauchy sequence, Banach space, Mandelbrot set, Lie group, Galois theory, Dehn's lemma, Galois connection, Boolean algebra, Heyting algebra, Brouwer lattice, Lindenbaum algebra and 149 more...
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