abstract algebra

English

Etymology

From 1860, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science

Pronunciation

• (Received Pronunciation) IPA^(key): /ˈæbˌstɹækt ˈæl.d͡ʒɪ.bɹə/
• (Received Pronunciation) IPA^(key): /ˈæbˌstɹækt ˈæl.d͡ʒə.bɹə/

Noun

abstract algebra (uncountable)

1. (mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
   • 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:

     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.

   • 1973, “AAAS Science Books: A Quarterly Review, Volume 9”, in American Association for the Advancement of Science, page 29:

     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.

Synonyms

• (branch of algebra): modern algebra

Translations

branch of mathematics

• Armenian: աբստրակտ հանրահաշիվ (abstrakt hanrahašiv)
• Catalan: àlgebra abstracta f
• Chinese:

  Mandarin: 抽象代數學／抽象代数学 (chōuxiàng dàishùxué), 抽象代數／抽象代数 (zh) (chōuxiàng dàishù)

• Danish: abstrakt algebra c
• Dutch: abstracte algebra
• Finnish: abstrakti algebra (fi)
• French: algèbre abstraite f
• German: abstrakte Algebra f
• Greek: αφηρημένη άλγεβρα f (afiriméni álgevra)
• Icelandic: hrein algebra f
• Indonesian: aljabar abstrak
• Italian: algebra astratta (it) f
• Japanese: 抽象代数学 (ja) (ちゅうしょうだいすうがく, chūshōdaisūgaku)
• Polish: algebra abstrakcyjna f
• Portuguese: (Brazil) álgebra abstrata f, álgebra abstracta f
• Russian: абстра́ктная а́лгебра f (abstráktnaja álgebra)
• Serbo-Croatian: apstraktna algebra f, апстрактна алгебра f
• Spanish: álgebra abstracta f
• Swedish: abstrakt algebra (sv) c

See also

• Appendix:Glossary of abstract algebra

Further reading

• List of abstract algebra topics on Wikipedia.Wikipedia