Abstract
The radical rad N of a submodule N of a module M is defined as the intersection of all prime submodules containing N . In this paper, we show that if the ideals ( N : M ) and ( L : M ) are comaximal then the equality rad ( N ∩ L ) = rad N ∩ rad L holds. We also discuss some properties of finitely generated R -modules.
Keywords
Mathematics
Finitely-generated abelian group
Prime (order theory)
Intersection (aeronautics)
Associated prime
Radical
Combinatorics
Discrete mathematics
Pure mathematics
Chemistry
Subject Areas
Rings, Modules, and Algebras
·Algebra and Number Theory ·Physical Sciences
Commutative Algebra and Its Applications
·Algebra and Number Theory ·Physical Sciences
Citations by Year
2014: 1
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