Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NOTE ON FULLY IDEMPOTENT S-ACTS

  • Roueentan, Mohammad (Department of Mathematics, College of Science, Shiraz University) ;
  • Ershad, Majid (Department of Mathematics, College of Science, Shiraz University)
  • Received : 2013.04.25
  • Accepted : 2013.08.21
  • Published : 2013.09.25
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Abstract

In this article we introduce the notion of fully idempotent acts and by this we give a characterization of commutative monoids over which all cyclic right acts are injective.

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References

  1. M. Kilp, U. Knauer and A. V. Mikhalev, Monoids, Acts and Categories, With Application to Wreath Product, Berlin; New York, 2000.
  2. X. Zhang, U. Knauer and Y. Chen, Classification of monoids by injectivities I. C-injectivity, Semigroup Forum, 76 (2008), 169-176. https://doi.org/10.1007/s00233-007-9022-8