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.
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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.
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]).
Idelhadj, A., Tribak, R. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.