Commutative cancellative semigroups of finite rank |
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| Authors: | Antonio M. Cegarra Mario Petrich |
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| Affiliation: | (1) Departamento de Álgebra, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain;(2) Department of Mathematics, University of Zagreb, 10002 Zagreb, Croatia |
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| Abstract: | The rank of a commutative cancellative semigroup S is the cardinality of a maximal independent subset of S. Commutative cancellative semigroups of finite rank are subarchimedean and thus admit a Tamura-like representation. We characterize these semigroups in several ways and provide structure theorems in terms of a construction akin to the one devised by T. Tamura for N-semigroups. |
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| Keywords: | semigroup rank commutative cancellative archimedean component pivot |
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