1. Quasi-exact Sequences of S-Acts.
- Author
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Aminizadeh, Reza, Rasouli, Hamid, and Tehranian, Abolfazl
- Subjects
- *
TORSION theory (Algebra) , *MONOIDS , *CHARTS, diagrams, etc. , *BEHAVIOR - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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