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Algebras
Some 1-element algebras
Some 2-element algebras
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2-element mono-unary algebras U2,0=⟨{0,1},0⟩,
U2,1=⟨{0,1},1⟩,
U2,′=⟨{0,1},′⟩
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Some 3-element algebras
Some 4-element algebras
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4-element noncyclic group (Z2)2=⟨{(0,0),(0,1),(1,0),(1,1)},+2,−2,(0,0)⟩
4-element nonunital rings Z4,0=⟨{0,1,2,3},+4,−4,0,⋅0⟩,
(F2)2=⟨{(0,0),(0,1),(1,0),(1,1)},+2,−2,(0,0),⋅0⟩
4-element unital rings Z4,1=⟨{0,1,2,3},+4,−4,0,⋅4,1⟩,
(F2)2=⟨{(0,0),(0,1),(1,0),(1,1)},+2,−2,(0,0),⋅,(1,1)⟩
Some 5-element algebras
Some 6-element algebras
Some n-element algebras
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p^k-element field Fpk=⟨{0,1,…,p−1,x,…},+p,−p,0,⋅,1⟩≅Fp[x]/⟨f(x)⟩
Some infinite algebras