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On injective hulls of \(S\)-posets

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Abstract

In this paper we describe injectives in the category of \(S\)-posets with \(S\)-submultiplicative morphisms and construct injective hulls of \(S\)-posets with respect to a specific class \(\mathcal {E}_\leqslant \) of monomorphisms.

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Acknowledgments

Research of the first named author was supported by the SRFDP of Ministry of Education of China (20124407120004), the NNSF of China (11171118), and the Program on International Cooperation and Innovation, Department of Education, Guangdong Province (2012gjhz0007). Research of the second named author was supported by Estonian Institutional Research Project IUT20-57.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, 510631, Guangzhou, China

    Xia Zhang

  2. Department of Mathematics, Southern Illinois University Carbondale, Carbondale, 62901, USA

    Xia Zhang

  3. Faculty of Mathematics and Computer Science, Institute of Mathematics, University of Tartu, 50409, Tartu, Estonia

    Valdis Laan

Authors
  1. Xia Zhang
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  2. Valdis Laan
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Correspondence to Valdis Laan.

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Communicated by Victoria Gould.

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Zhang, X., Laan, V. On injective hulls of \(S\)-posets. Semigroup Forum 91, 62–70 (2015). https://doi.org/10.1007/s00233-014-9646-4

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  • DOI: https://doi.org/10.1007/s00233-014-9646-4

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