subalgebran.
/ˌsʌbˈaldʒᵻbrə/, U.S. /ˌsəbˈældʒəbrə/ Mathematics.
An algebra which is a subset of another algebra.
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the world > relative properties > number > algebra > [noun] > branch or subset of
quadratic1674
tactic1861
linear algebra1870
group theory1888
subalgebra1903
Clifford algebra1907
1903 Trans. Amer. Math. Soc. 4 277 We might look upon any algebra built upon this frame as a sub-algebra of this one of order nine.
1933 Proc. Cambr. Philos. Soc. 29 442 If we define a lattice to be any set of elements satisfying [axioms] I–VI, we can express our results as Theorem 3·1: The subalgebras of any algebra constitute a lattice.
2011 C. Heunen et al. in H. Halvorson Deep Beauty vi. 288 D is some subalgebra contained in the algebra of all diagonal matrices.
This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022).
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