Strongly Prime Submodules

DOI10.1080/00927870802467239zbMath1174.13001arXiv0912.1757OpenAlexW1996809740MaRDI QIDQ3395185

Ali Reza Naghipour

Publication date: 24 August 2009

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

Full work available at URL: https://arxiv.org/abs/0912.1757

zbMATH Keywords

prime submodulestrongly prime submodulestrongly prime radicalGeneralized Principal Ideal Theorem

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Theory of modules and ideals in commutative rings (13C99)

Related Items (9)

SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ SOME RESULTS ON STRONGLY PRIME SUBMODULES ⋮ Attaching a topological space to a module ⋮ Strongly Prime Submodules, G-Submodules and Jacobson Modules ⋮ A closure operation on submodules ⋮ A note on monoform modules ⋮ The Dual Notions of Some Generalizations of Prime Submodules ⋮ Erratum to “Strongly Prime Submodules” (Comm. Algebra, 37(7), 2009, 2193–2199) ⋮ A generalization of primary ideals and strongly prime submodules

Cites Work

• Unnamed Item
• Unnamed Item
• Prime submodules of Noetherian modules
• On chains of prime submodules
• On the spectrum of a module over a commutative ring
• On the prime radical of a module over a commutative ring
• Prime modules.
• On rings over which each module has a maximal submodule
• A generalized principal ideal theorem for modules over a commutative ring
• PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
• Locally perfect commutative rings are those whose modules have maximal submodules

This page was built for publication: Strongly Prime Submodules