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| Paper IPM / M / 11362 |
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| Abstract: | |
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In this paper we introduce the notion of classical quasi?primary submodules that generalizes the concept of classical primary submodules. Then we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. Moreover; we show that this decomposition and the decomposition into classical primary submodules are the same when R is a domain with dim(R) ≤ 1.
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