American English pronunciation
How to pronounce algebra
IPA transcription: ['ældʒəbɹə]
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Noun
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the mathematics of generalized arithmetical operations
Usage examples
- In other words, any simple algebra is a central simple algebra over its center.
- We immediately get some very useful connections with other areas of algebra.
- Other synonyms for the notion include absolutely free algebra, anarchic algebra.
- Semisimple rings are of particular interest to algebraists.
- The rational numbers are algebraically compact as a Z-module.
- Subalgebra can be a subset of both cases.
- Additionally, Scott domains appear with other names like "algebraic semilattice" in some publications.
- The following structures include generalizations and other algebraic objects similar to rings.
- This concept is used in algebraic structures such as groups.
- These algebraic approximations can be "exactly" expressed in terms of Dedekind eta quotients.