-regular modules

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ID: 180132
2013
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Abstract
We introduced and studied -regular modules as a generalization of -regular rings to modules as well as regular modules (in the sense of Fieldhouse). An -module is called -regular if for each and , there exist and a positive integer such that . The notion of -pure submodules was introduced to generalize pure submodules and proved that an -module is -regular if and only if every submodule of is -pure iff   is a -regular -module for each maximal ideal of . Many characterizations and properties of -regular modules were given. An -module is -regular iff is a -regular ring for each iff is a -regular ring for finitely generated module . If is a -regular module, then .
Reference Key
abduldaim2013journal-regular Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Areej M. Abduldaim;Sheng Chen
Journal Chemico-biological interactions
Year 2013
DOI
10.1155/2013/630285
URL
http://dx.doi.org/10.1155/2013/630285
Keywords
mathematics

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