대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제39권2호
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  • Pages.363-372
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  • 2024
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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WHEN EVERY FINITELY GENERATED REGULAR IDEAL IS FINITELY PRESENTED

  • Mohamed Chhiti (Laboratory of Modelling and Mathematical Structures Faculty of Economics and Social Sciences of Fez University S. M. Ben Abdellah Fez) ;
  • Salah Eddine Mahdou (Laboratory of Modelling and Mathematical Structures Faculty of Science and Technology of Fez University S. M. Ben Abdellah Fez)
  • 투고 : 2023.09.15
  • 심사 : 2024.01.25
  • 발행 : 2024.04.30
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초록

In this paper, we introduce a weak version of coherent that we call regular coherent property. A ring is called regular coherent, if every finitely generated regular ideal is finitely presented. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions, pullbacks and amalgamated. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.

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참고문헌

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