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Definition of abelian in English:
abelian
adjective
Mathematics(of a group) having members related by a commutative operation (e.g., a×b = b×a)
- ‘After submitting a thesis on abelian functions, he received his doctorate in 1895 from the University of Strasbourg.’
- ‘He does provide an example of the decomposition of an abelian group into cosets of a subgroup.’
- ‘Herbrand also worked on field theory considering abelian extensions of algebraic number fields.’
- ‘Schreier showed that the fundamental group of such a space is always abelian.’
- ‘In 1925 he proved the Krull-Schmidt theorem for decomposing abelian groups of operators.’
- ‘In the same year he generalised von Neumann's spectral theorem to locally compact abelian groups.’
- ‘Galois, after reading Abel and Jacobi's work, worked on the theory of elliptic functions and abelian integrals.’
Origin
Mid 19th century: named after N. H. Abel(see Abel, Niels Henrik).
Pronunciation:
abelian
/əˈbēlyən/Further reading
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