Abstract
Chen and Shum (Semigroup Forum 65:141–148, 2002) introduced Rees short exact sequence of acts over monoids and considered conditions under which a Rees short exact sequence of acts is left and right split, respectively. In this paper we investigate conditions under which flatness properties of right acts A and C in the Rees short exact sequence \( 0 \longrightarrow A {\mathop {\longrightarrow }\limits ^{f}} B {\mathop {\longrightarrow }\limits ^{g}} C \longrightarrow 0 \) can be transferred to B.
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References
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Acknowledgements
The authors would like to express their appreciation to the anonymous referees for their useful comments. They would like to thank Professor Marcel Jackson for providing the communication.
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Communicated by Marcel Jackson.
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Jafari, M., Golchin, A. & Mohammadzadeh Saany, H. Rees short exact sequence and flatness properties. Semigroup Forum 99, 32–46 (2019). https://doi.org/10.1007/s00233-018-9945-2
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DOI: https://doi.org/10.1007/s00233-018-9945-2