On P-Regularity of Acts

DOI: 10.4236/apm.2012.22014   PDF   HTML     3,889 Downloads   7,669 Views   Citations

Abstract

By a regular act we mean an act that all its cyclic subacts are projective. In this paper we introduce P-regularity of acts over monoids and will give a characterization of monoids by this property of their right (Rees factor) acts.

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A. Golchin, H. Mohammadzadeh and P. Rezaei, "On P-Regularity of Acts," Advances in Pure Mathematics, Vol. 2 No. 2, 2012, pp. 104-108. doi: 10.4236/apm.2012.22014.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[3] V. Laan, “Pullbacks and Flatness Properties of Acts,” Tartu University Press, Tartu, 1999.
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