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Quasi-exact Sequences of S-Acts

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Abstract

In this paper, the notion of (short) quasi-exact sequence of S-acts is introduced. We study the behaviour of quasi-exact sequences in regard to some algebraic properties of S-acts including principal weak injectivity, principal weak flatness, regularity and torsion freeness. Moreover, some results concerning commutative diagrams of modules are generalized to acts over monoids.

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Acknowledgements

The authors would like to express their appreciation to the anonymous referees for their constructive input into the paper.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Reza Aminizadeh, Hamid Rasouli & Abolfazl Tehranian

Authors
  1. Reza Aminizadeh
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  2. Hamid Rasouli
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  3. Abolfazl Tehranian
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Corresponding author

Correspondence to Hamid Rasouli.

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Communicated by Kar Ping Shum.

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Aminizadeh, R., Rasouli, H. & Tehranian, A. Quasi-exact Sequences of S-Acts. Bull. Malays. Math. Sci. Soc. 42, 2225–2235 (2019). https://doi.org/10.1007/s40840-017-0596-3

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  • DOI: https://doi.org/10.1007/s40840-017-0596-3

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