Commutative semigroups having greatest regular images |
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| Authors: | Tom Head |
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| Affiliation: | (1) The University of Alaska, College, Alaska;(2) New Mexico State University, Las Cruces, New Mexico |
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| Abstract: | Let S be a commutative semigroup. S has a greatest regular image if and only if each of its Archimedean components contains an idempotent. S has a greatest group-with-zero image if and only if S has precisely two Archimedean components and the upper component contains an idempotent. The existence and structure of these images and of greatest group images is related to tensor products. |
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