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The isomorphism
problem for orthodox semigroups
Thomas Eric Hall |
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Vol. 136 (1989), No. 1, 123–128
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Abstract |
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The author’s structure theorem for orthodox semigroups produced an orthodox semigroup ℋ(E,T,ψ) from a band E, an inverse semi-group T and a morphism ψ between two inverse semigroups, namely T and WE∕γ, an inverse semigroup constructed from E. Here, we solve the isomorphism problem: when are two such orthodox semigroups isomorphic? This leads to a way of producing all orthodox semigroups, up to isomorphism, with prescribed band E and maximum inverse semigroup morphic image T. |
Mathematical Subject Classification 2000
Primary: 20M10
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Milestones
Received: 21 July 1987
Published: 1 January 1989
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Authors |
| Thomas Eric Hall | |
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