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Characterization of Weakly Regular S-acts

Year 2014, Volume: 43 Issue: 5, 754 - 762, 01.10.2014

Abstract

We generalize the concept of weakly regularity in semigroups to S-acts,
where S is a monoid. We prove among other results that if a monoid
is von-Neumann regular then weakly regularity and von-Neumann regularity, in the context of S-acts, coincide. We also define locally projective S-acts, which is the generalization of projective S-acts. We
consider many relationships between weakly regular S-acts and locally
projective S-acts.

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Year 2014, Volume: 43 Issue: 5, 754 - 762, 01.10.2014

Abstract

References

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There are 1 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

İmran Khaliq This is me

Muhammad Shabir This is me

Gulshad Imran This is me

Publication Date October 1, 2014
Published in Issue Year 2014 Volume: 43 Issue: 5

Cite

APA Khaliq, İ., Shabir, M., & Imran, G. (2014). Characterization of Weakly Regular S-acts. Hacettepe Journal of Mathematics and Statistics, 43(5), 754-762.
AMA Khaliq İ, Shabir M, Imran G. Characterization of Weakly Regular S-acts. Hacettepe Journal of Mathematics and Statistics. October 2014;43(5):754-762.
Chicago Khaliq, İmran, Muhammad Shabir, and Gulshad Imran. “Characterization of Weakly Regular S-Acts”. Hacettepe Journal of Mathematics and Statistics 43, no. 5 (October 2014): 754-62.
EndNote Khaliq İ, Shabir M, Imran G (October 1, 2014) Characterization of Weakly Regular S-acts. Hacettepe Journal of Mathematics and Statistics 43 5 754–762.
IEEE İ. Khaliq, M. Shabir, and G. Imran, “Characterization of Weakly Regular S-acts”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 754–762, 2014.
ISNAD Khaliq, İmran et al. “Characterization of Weakly Regular S-Acts”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 2014), 754-762.
JAMA Khaliq İ, Shabir M, Imran G. Characterization of Weakly Regular S-acts. Hacettepe Journal of Mathematics and Statistics. 2014;43:754–762.
MLA Khaliq, İmran et al. “Characterization of Weakly Regular S-Acts”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, 2014, pp. 754-62.
Vancouver Khaliq İ, Shabir M, Imran G. Characterization of Weakly Regular S-acts. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):754-62.