abstract algebra en · NOUN
Pronunciation
- /ˈæbˌstɹækt ˈæl.d͡ʒɪ.bɹə/ (Received-Pronunciation)
- /ˈæbˌstɹækt ˈæl.d͡ʒə.bɹə/ (Received-Pronunciation)
Etymology
From 1860, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
Meanings
-
(uncountable) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
This is neither the best nor the worst of the many abstract algebra texts written for advanced undergraduate courses. The author devotes 300 pages to a first course in abstract algebra and 200 pages to a (presumably) second course in linear algebra.
1973, “AAAS Science Books: A Quarterly Review, Volume 9”, in American Association for the Advancement of Science, page 29:The operations are necessarily algebraic, because the relative magnitudes of the given quantities and the quantity sought for are unknown; and it is the essential principle of abstract algebra to furnish rules and symbols of operation which are proper for calculating independently of the knowledge of relative magnitudes.
1860, Prof. Challis, VIII: On the possibility of finding a Root, real or imaginary, of every Equation: The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, page 46:
Synonyms
Translations (23)
ja 抽象代数学 (branch of mathematics) · ca àlgebra abstracta (branch of mathematics) · fi abstrakti algebra (branch of mathematics) · ru абстра́ктная а́лгебра (branch of mathematics) · cmn 抽象代數 /抽象代数 (branch of mathematics) · el αφηρημένη άλγεβρα (branch of mathematics) · is hrein algebra (branch of mathematics) · es álgebra abstracta (branch of mathematics) · hy աբստրակտ հանրահաշիվ (branch of mathematics) · pt álgebra abstracta (branch of mathematics) · sv abstrakt algebra (branch of mathematics) · cmn 抽象代數學 /抽象代数学 (branch of mathematics) · de abstrakte Algebra (branch of mathematics) · fr algèbre abstraite (branch of mathematics) · pt álgebra abstrata (branch of mathematics) · hi अमूर्त बीजगणित (branch of mathematics) · sh apstraktna algebra (branch of mathematics) · pl algebra abstrakcyjna (branch of mathematics) · id aljabar abstrak (branch of mathematics) · nl abstracte algebra (branch of mathematics) · sh апстрактна алгебра (branch of mathematics) · it algebra astratta (branch of mathematics) · da abstrakt algebra (branch of mathematics)