Abstract
It is well known that lifting modules are dual to extending modules, and there are plentiful of works on this subject. In this chapter, we consider modules with a property that is dual to Goldie extending property. Such modules are called Goldie*- supplemented modules. We investigate this new class of modules and the class of H-supplemented modules. Using another equivalence relation which is based on the radical of a module, we introduce the classes of Goldie-rad-supplemented and rad-H-supplemented modules. Finally, we discuss extending and C 11 properties on ec-complement submodules and obtain fundamental properties of these classes of modules.
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© 2016 Springer International Publishing Switzerland
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Tercan, A., Yücel, C.C. (2016). Dual Goldie and EC-complement Versions of the Extending Property. In: Module Theory, Extending Modules and Generalizations. Frontiers in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0952-8_6
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DOI: https://doi.org/10.1007/978-3-0348-0952-8_6
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0950-4
Online ISBN: 978-3-0348-0952-8
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