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Universal groups on semilattices of reversible cancellative semigroups

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Abstract

LetS be a semigroup which is a semilattice Ω of reversible cancellative semigroupsS α, α∈Ω. This paper studies the relationship between the universal groupG onS and the universal groupsG α onS α. We also show that the universal homorphismsf α∶S α→G α, α∈Ω fromS α to the category of groups combine to a homomorphismf∶S→G ofS into the category of groups.

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  1. Department of Mathematics & Computer Science, Federal University of Technology, P. M. B. 1526, Owerri, Nigeria

    Kevin E. Osondu

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  1. Kevin E. Osondu
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Osondu, K.E. Universal groups on semilattices of reversible cancellative semigroups. Semigroup Forum 43, 331–336 (1991). https://doi.org/10.1007/BF02574275

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  • DOI: https://doi.org/10.1007/BF02574275

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