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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.

1 vote

Familiar equations in more general settings

The equation for the variance of a sum of correlated random variables looks like the law of cosines. More on that here. Both the variance formula and the law of cosines are consequences of general pro …
John D. Cook's user avatar
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36 votes
17 answers
6k views

Canonical examples of algebraic structures

Please list some examples of common examples of algebraic structures. I was thinking answers of the following form. "When I read about a [insert structure here], I immediately think of [example]." O …