When A Fully D-Stable Module is Quasi-Projective

Abbas M.s and A. M. A Al-Hosainy

Journal of Asian Scientific Research, 2014, vol. 4, issue 7, 364-374

Abstract: The concept of full d-stability of modules was introduced by the authors in a previous paper. It is stronger than the duo property. Although quasi-projectivity is not a necessary condition for full dstability, it is inherent with this property in most of the known examples in such a way that it was difficult to give an example of a fully d-stable module which is not quasi-projective. This motivates the subject of this paper.

Keywords: Fully d-stable; Multiplication; Quasi-projective; Quasi-injective; Duo module; Dedekind domain. (search for similar items in EconPapers)
Date: 2014
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