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- W4375814902 abstract "In this paper, the concept of clean ring is generalized to modules. We call a free R-module, Rn, clean, whenever every element of Rn can be written as the sum of a unimodular and an idempotent row. We show that when R is Noetherian, the R-module Rn is clean if and only if R can be expressed as a finite direct product of indecomposable rings Ri, say R = Lt i=1 Ri, such that each Ri has at most 2n − 1 maximal ideals. We also give a new characterization of clean rings." @default.
- W4375814902 created "2023-05-09" @default.
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- W4375814902 date "2022-01-01" @default.
- W4375814902 modified "2023-09-27" @default.
- W4375814902 title "ON CLEAN FREE MODULES AND A CHARACTERIZATION OF CLEAN RINGS" @default.
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- W4375814902 doi "https://doi.org/10.59277/mrar.2023.25.75.1.103" @default.
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