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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.
15
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Accepted
Canonical examples of algebraic structures
Neat question...
Abelian Group: Z or Z/nZ
Nonabelian Group: Dihedral groups or GL_n
Commutative Ring: Z or C[x]
Noncommutative Ring: Matrix rings
Division Ring: Hamilton's Quaternions
Field: R o …