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Sequentially Injective Hull of Acts Over Idempotent Semigroups

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Abstract

In this paper using the notion of a sequentially dense monomorphism we consider sequential injectivity (s-injectivity) for acts over a semigroup S. Among other things we describe the s-injective hull of acts over an idempotent semigroup S. We also give some classes of idempotent semigroups for the acts over which the notions of injectivity and s-injectivity coincide, and hence get the injective hull of acts over these classes of semigroups.

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Authors and Affiliations

  1. Department of Mathematics, Shahid Beheshti University, Tehran 19839, Iran

    M. Mahmoudi

  2. Department of Mathematics, Sabzevar Teachers Training University, Sabzevar, Iran

    Gh. Moghaddasi Angizan

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  1. M. Mahmoudi
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  2. Gh. Moghaddasi Angizan
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Correspondence to M. Mahmoudi or Gh. Moghaddasi Angizan.

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Mahmoudi, M., Angizan, G. Sequentially Injective Hull of Acts Over Idempotent Semigroups. Semigroup Forum 74, 240–246 (2007). https://doi.org/10.1007/s00233-006-0644-z

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  • DOI: https://doi.org/10.1007/s00233-006-0644-z

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