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The rank of a commutative cancellative semigroup

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For a commutative cancellative semigroup <Emphasis Type=”Italic”>S</Emphasis>, we define the rank of <Emphasis Type=”Italic”>S</Emphasis> intrinsically. This definition implies that the rank of <Emphasis Type=”Italic”>S</Emphasis> equals the usual rank of its group of quotients. We also characterize the rank in terms of embeddability into a rational vector space of the greatest power cancellative image of<Emphasis Type=”Italic”> S.</Emphasis>

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  1. Department of Mathematics, University of Zagreb, 10002 Zagreb, Croatia

    Mario Petrich

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  1. Mario Petrich
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Petrich, M. The rank of a commutative cancellative semigroup. Acta Math Hung 107, 71–75 (2005). https://doi.org/10.1007/s10474-005-0179-x

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  • DOI: https://doi.org/10.1007/s10474-005-0179-x

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