Retracts and monomorphism monoids in semigroup varieties |
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Authors: | V B Lender |
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Institution: | (1) Box 666, 71106 Lod, Israel |
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Abstract: | If a semigroup varietyV contains the variety of commutative three-nilpotent semigroups, or if it is a variety of bands containing all semilattices,
then, for anyA∈V and any left cancellative monoidM, there is a semigroupS∈V such thatA is a retract ofS andM is isomorphic to the monoid of all injective endomorphisms ofS. |
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