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The ring of quotients of R(S)

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Abstract

A ring of quotients of the semigroup ring R(S) is discussed where R has a σ-set Σ and S has a σ-set Δ. In particular, we study the cases where (1) R is an integral domain and S is a commutative cancellative semigroup, (2) R is a commutative ring and S is a semilattice and (3) R is a commutative ring and S is a Rees matrix semigroup over a semigroup.

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Authors and Affiliations

  1. Clemson University, Clemson, S. C.

    John K. Luedeman & James A. Bate

Authors
  1. John K. Luedeman
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  2. James A. Bate
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Communicated by G. Lallement

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Luedeman, J.K., Bate, J.A. The ring of quotients of R(S). Semigroup Forum 18, 271–278 (1979). https://doi.org/10.1007/BF02574190

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  • DOI: https://doi.org/10.1007/BF02574190

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