simple algebra
simple algebra noun: an algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).
Noun
simple algebra (plural simple algebras)
- An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).
- 1945 [McGraw-Hill], E. T. Bell, 2nd Edition, 1992, Dover, The Development of Mathematics, page 252,
A semi-simple algebra over F is either simple or the direct sum of simple algebras over F. - 1989 [W. H Freeman & Company], Nathan Jacobson, Basic Algebra II, 2nd Edition, 2009, Dover, page 215,
If A is a finite dimensional simple algebra over F, then A≅M_n(Δ) where Δ is a finite dimensional division algebra over Δ.
- 1945 [McGraw-Hill], E. T. Bell, 2nd Edition, 1992, Dover, The Development of Mathematics, page 252,
simple algebra meaning in Tamil
simple algebra in Tamil
- எளிய அறமம்
Forms of simple algebra
| plural | simple algebras |
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Questions about simple algebra
- What does simple algebra mean?
- Simple algebra means an algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).
- What is simple algebra in Tamil?
- Simple algebra in Tamil is எளிய அறமம். See Simple algebra meaning in Tamil.
- What part of speech is simple algebra?
- Simple algebra is a noun.
- What is the plural of simple algebra?
- The plural of simple algebra is simple algebras.
Words near simple algebra in the dictionary
Source and license
Adapted from Wiktionary: simple algebra (page history and authors); simple algebra (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “simple algebra.” Word.ws, https://word.ws/simple_algebra. Based on Wiktionary, CC BY-SA 4.0.