Meanings
- uncountablealgebraThe 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 291 more example
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 46Synonyms: branch of algebra
Synonyms & antonyms
nounThe branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
Origin
From 1860, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
Full word history & related roots →Translations
Catalan àlgebra abstracta
- àlgebra abstractabranch of mathematics
Chinese Mandarin 抽象代數學 /抽象代数学, 抽象代數 /抽象代数
- 抽象代數學 /抽象代数学 (chōuxiàng dàishùxué)branch of mathematics
- 抽象代數 /抽象代数 (chōuxiàng dàishù)branch of mathematics
Danish abstrakt algebra
- abstrakt algebrabranch of mathematics
Dutch abstracte algebra
- abstracte algebrabranch of mathematics
Finnish abstrakti algebra
- abstrakti algebrabranch of mathematics
French algèbre abstraite
- algèbre abstraitebranch of mathematics
German abstrakte Algebra
- abstrakte Algebrabranch of mathematics
Greek αφηρημένη άλγεβρα
- αφηρημένη άλγεβρα (afiriméni álgevra)branch of mathematics
Hindi अमूर्त बीजगणित
- अमूर्त बीजगणित (amūrt bījagṇit)branch of mathematics
Icelandic hrein algebra
- hrein algebrabranch of mathematics
Indonesian aljabar abstrak
- aljabar abstrakbranch of mathematics
Italian algebra astratta
- algebra astrattabranch of mathematics
Japanese 抽象代数学
- 抽象代数学 (chūshōdaisūgaku)branch of mathematics
Polish algebra abstrakcyjna
- algebra abstrakcyjnabranch of mathematics
Portuguese álgebra abstrata, álgebra abstracta
- álgebra abstratabranch of mathematics
- álgebra abstractabranch of mathematics
Russian абстра́ктная а́лгебра
- абстра́ктная а́лгебра (abstráktnaja álgebra)branch of mathematics
Spanish álgebra abstracta
- álgebra abstractabranch of mathematics
Swedish abstrakt algebra
- abstrakt algebrabranch of mathematics
Cite this entry
abstract algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/abstract%20algebra
“abstract algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/abstract%20algebra. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “abstract algebra,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/abstract%20algebra.
Source: abstract algebra on Wiktionary, CC BY-SA 4.0.