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On P-Regularity of Acts

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DOI: 10.4236/apm.2012.22014    3,790 Downloads   7,509 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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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.

References

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