Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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S-COHERENT PROPERTY IN TRIVIAL EXTENSION AND IN AMALGAMATED DUPLICATION

  • Mohamed Chhiti (Laboratory of Modelling and Mathematical Structures Faculty of Economics and Social Sciences of Fez, Box 2626 University S. M. Ben Abdellah) ;
  • Salah Eddine Mahdou (Laboratory of Modelling and Mathematical Structures Faculty of Science and Technology of Fez, Box 2202 University S. M. Ben Abdellah)
  • Received : 2022.08.28
  • Accepted : 2022.11.15
  • Published : 2023.07.31
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Abstract

Bennis and El Hajoui have defined a (commutative unital) ring R to be S-coherent if each finitely generated ideal of R is a S-finitely presented R-module. Any coherent ring is an S-coherent ring. Several examples of S-coherent rings that are not coherent rings are obtained as byproducts of our study of the transfer of the S-coherent property to trivial ring extensions and amalgamated duplications.

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References

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