Positive rational semigroups and commutative power joined cancellative semigroups without idempotent
Morio Sasaki, Takayuki Tamura (1971)
Czechoslovak Mathematical Journal
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Positive rational semigroups and commutative power joined cancellative semigroups without idempotent
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Every commutative nil-semigroup of index 2 can be imbedded into such a semigroup without irreducible elements.