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The maximal right
quotient semigroup of a strong semilattice of semigroups
Antonio M. Lopez |
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Vol. 71 (1977), No. 2, 477–485
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Abstract |
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Let S be a strong semilattice Y of monoids. If S is right nonsingular then Y is nonsingular. The converse is true when S is a sturdy semilattice Y of right cancellative monoids. Should S have trivial multiplication then each monoid of more than one element has as its index an atom of Y . Finally, if S is a right nonsingular strong semilattice Y of principal right ideal Ore monoids with onto linking homomorphisms then Q(S), the maximal right quotient semigroup of S, is a semilattice Q(Y ) of groups. |
Mathematical Subject Classification 2000
Primary: 20M10
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Milestones
Received: 29 November 1976
Revised: 9 March 1977
Published: 1 August 1977
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Authors |
| Antonio M. Lopez | |
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