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Strongly Prime Submodules, G-Submodules and Jacobson Modules

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Publication:2888551
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DOI10.1080/00927872.2010.551530zbMath1248.13016OpenAlexW2156574372MaRDI QIDQ2888551

David E. Rush

Publication date: 1 June 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.551530

zbMATH Keywords

Hilbert ringprime submodulestrongly prime submoduleJacobson moduleG-submodule


Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion modules and ideals in commutative rings (13C12)


Related Items

SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES, SOME RESULTS ON STRONGLY PRIME SUBMODULES, A note on monoform modules



Cites Work

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  • Commutative coherent rings
  • Prime submodules, the descent invariant, and modules of finite length
  • On chains of prime submodules
  • Hilbert rings and the Hilbert Nullstellensatz
  • Strongly Prime Submodules
  • Prime submodules
  • On the prime radical of a module over a commutative ring
  • A principal ideal theorem analogue for modules over commutative rings
  • On dimensions of finitely generated modules
  • A generalized principal ideal theorem for modules over a commutative ring
  • Saturations of Submodules
  • Radical of submodules and symmetric algebra
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