The dual notion of prime submodules
Siamak Yassemi (2001)
Archivum Mathematicum
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In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
Displaying similar documents to “Submodules of secondary modules.”
The dual notion of prime submodules
Multiplication modules and related results
Shahabaddin Ebrahimi Atani (2004)
Archivum Mathematicum
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Let be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication -module (see [8], [12] and [3]).
On some properties of -supplemented modules.
Idelhadj, A., Tribak, R. (2003)
International Journal of Mathematics and Mathematical Sciences
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On prime modules over pullback rings
Shahabaddin Ebrahimi Atani (2004)
Czechoslovak Mathematical Journal
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First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime -modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.