Infinite cancellative commutative monoids

Up:Monoids with two generators and two relations
14 unique, 145 total

Σ#PresentationDescriptionRelated
511⟨a, b | aa=1, aaa=1⟩Isomorphic to ℕ98 iso
623⟨a, b | ba=ab, bb=1⟩Isomorphic to ℤ2 ⊕ ℕ17 iso
7151⟨a, b | ba=ab, aaa=1⟩Isomorphic to ℤ3 ⊕ ℕ11 iso
8618⟨a, b | ba=ab, aaaa=1⟩Isomorphic to ℤ4 ⊕ ℕ2 iso
8663⟨a, b | ba=ab, bb=aa⟩Isomorphic to ⟨(1, 1), (0, 1)⟩ ⊂ ℤ2 ⊕ ℤ
92156⟨a, b | ba=ab, aaaaa=1⟩Isomorphic to ℤ5 ⊕ ℕ2 iso
92262⟨a, b | ba=ab, aaa=bb⟩Isomorphic to ⟨2, 3⟩ ⊂ ℤ
106910⟨a, b | ba=ab, aaaaaa=1⟩Isomorphic to ℤ6 ⊕ ℕ
107120⟨a, b | ba=ab, aaaa=bb⟩Isomorphic to ⟨(0, 1), (1, 2)⟩ ⊂ ℤ2 ⊕ ℤ
107188⟨a, b | ba=ab, aba=aab⟩Isomorphic to ℕ ⊕ ℕ1 iso
107196⟨a, b | ba=ab, bbb=aaa⟩Isomorphic to ⟨(1, 1), (0, 1)⟩ ⊂ ℤ3 ⊕ ℤ
1120448⟨a, b | ba=ab, aaaaaaa=1⟩Isomorphic to ℤ7 ⊕ ℕ
1120850⟨a, b | ba=ab, aaaaa=bb⟩Isomorphic to ⟨2, 5⟩ ⊂ ℤ
1121053⟨a, b | ba=ab, aaaa=bbb⟩Isomorphic to ⟨3, 4⟩ ⊂ ℤ