A short Note on prime submodules

DOI10.29252/asta.5.1.41zbMath1463.13015OpenAlexW2890445410WikidataQ128567913 ScholiaQ128567913MaRDI QIDQ5124565

Jafar A'zami

Publication date: 30 September 2020

Published in: Algebraic structures and their applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29252/asta.5.1.41

zbMATH Keywords

associated primesprime submoduleminimal prime submoduleheight of a prime submodulearithmetic rank of a submodule

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Cites Work

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• On the prime radical of a module over a commutative ring
• Prime modules.
• On dimensions of finitely generated modules
• Chain conditions in modules with krull dimension
• On commutative Noetherian rings which satisfy the radical formula
• The Prime Avoidance Lemma Revisited
• ARITHMETIC RANK, COHOMOLOGICAL DIMENSION AND FILTER REGULAR SEQUENCES

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