General algebraic systems Congruences and quotients Concept
Simple algebra
Summary
A simple algebra is a nontrivial algebra whose only congruences are the two trivial ones. So it has no proper nontrivial quotient algebras: every homomorphism out of it is injective or constant. The notion covers simple groups and simple rings, and it is the basic building block in the study of varieties.
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| Tag | 9CJCXNYNK8 |
|---|---|
| URI | m2://9CJCXNYNK8 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 08A30, 08A05 |
| Same as |
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