On P-Regularity of Acts - Advances in Pure Mathematics

APM > Vol.2 No.2, March 2012

On P-Regularity of Acts ()

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DOI: 10.4236/apm.2012.22014 4,343 Downloads 8,610 Views Citations

Author(s)

Akbar Golchin, Hossein Mohammadzadeh, Parisa Rezaei

Affiliation(s)

Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.

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.

KEYWORDS

P-Regularity; Rees Factor Act

Share and Cite:

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.

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