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\(\varphi\)-rings from a module-theoretic point of view: a survey

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Publication:6630977
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MaRDI QIDQ6630977

Unnamed Author, Najib Mahdoua, Hwankoo Kim

Publication date: 31 October 2024

Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)



zbMATH Keywords

nonnil-Noetheriannonnil-commutative diagram\(\varphi\)-ringnonnil-injective\(\varphi\)-(weakly) global dimension\(\varphi\)-Dedekind\(\varphi\)-flat\(\varphi\)-Prüfer\(\varphi\)-torsion\(\varphi\)-von Neumann regularnonnil-coherentnonnil-projective


Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Injective and flat modules and ideals in commutative rings (13C11) Torsion modules and ideals in commutative rings (13C12)








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