central simple algebra

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central simple algebra

noun central simple algebras

A finite-dimensional associative algebra over some field K that is a simple algebra and whose centre is exactly K. The complex numbers #92;C form a central simple algebra over themselves, but not over the real numbers #92;R (the centre of #92;C is all of #92;C, not just #92;R). The quaternions #92;mathbbH form a 4-dimensional central simple algebra over #92;R.
Similar: CSA

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noun type of associative algebra over a field

Español	álgebra simple central, ASC
Português	álgebra simple central, ASC

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"central simple algebra." Wiktionary, via Micwyn, micwyn.com/word/central%20simple%20algebra. Accessed 6 Nov. 2026.

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central simple algebra. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/central%20simple%20algebra

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"central simple algebra." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/central%20simple%20algebra.

BibTeX

@misc{central_simple_algebra_2026,
  title = {central simple algebra},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/central%20simple%20algebra},
  urldate = {2026-11-06}
}