A generalized principal ideal theorem for modules over a commutative ring

DOI10.1080/00927879808826255zbMath0957.13011OpenAlexW2120808579MaRDI QIDQ4392654

Ikuo Nishitani

Publication date: 28 March 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826255

zbMATH Keywords

cardinality of generating setlength of chaingeneralized principal ideal theoremchain of cocritical submodules

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (3)

Strongly Prime Submodules, G-Submodules and Jacobson Modules ⋮ Strongly Prime Submodules ⋮ GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

Cites Work

• A principal ideal theorem analogue for modules over commutative rings
• Unnamed Item

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