Classical primary submodules and decomposition theory of modules
M Baziar, M Behboodi - Journal of Algebra and its Applications, 2009 - World Scientific
Journal of Algebra and its Applications, 2009•World Scientific
We introduce the notion of classical primary submodules that generalizes the concept of
primary ideals of commutative rings to modules. Existence and uniqueness of classical
primary decompositions in finitely generated modules over one-dimensional Noetherian
domains are proved.
primary ideals of commutative rings to modules. Existence and uniqueness of classical
primary decompositions in finitely generated modules over one-dimensional Noetherian
domains are proved.
We introduce the notion of classical primary submodules that generalizes the concept of primary ideals of commutative rings to modules. Existence and uniqueness of classical primary decompositions in finitely generated modules over one-dimensional Noetherian domains are proved.
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