When every finitely projective ideal is projective

When every finitely projective ideal is projective

This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our w...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2022-09, Vol.53 (3), p.579-586
Hauptverfasser: Mahdou, Najib, Moussaoui, Sanae, Moutui, Moutu Abdou Salam
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Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Rings (mathematics)
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container_title Indian journal of pure and applied mathematics
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creator Mahdou, Najib
Moussaoui, Sanae
Moutui, Moutu Abdou Salam
description This paper studies the class of rings in which every finitely projective ideal is projective (FPP-ring for short). We examine the transfer of this property to various context of commutative ring extensions such as direct product, homomorphic image, trivial ring extension and amalgamation ring. Our work is motivated by an attempt to generate new original classes of rings possessing this property.
doi_str_mv 10.1007/s13226-021-00148-y
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Rings (mathematics)
title When every finitely projective ideal is projective
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