On the structure of pure-projective modules and some applications
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DOI: 10.1016/j.jpaa.2016.08.012
Abstract: Abstract We study direct-sum decompositions of pure-projective modules over some classes of rings. In particular, we determine several classes of rings over which every pure-projective left module is a direct sum of cyclic modules. Finally,… read more here.
Keywords: structure pure; modules applications; pure; projective modules ... See more keywords
Some properties of Artinian modules and applications
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DOI: 10.1142/s0219498818500196
Abstract: Let (R, ????) be a Noetherian local ring and A be an Artinian R-module. Consider the following property for A : AnnR(0 :A????) = ????for all ???? ∈Var(AnnR(A)).(∗) In this paper, we study the property (∗) of A... read more here.
Keywords: artinian modules; applications properties; modules applications; properties artinian ... See more keywords
Two filtration results for modules with applications to the Auslander condition
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DOI: 10.4064/cm7678-10-2018
Abstract: Under some strong cograde conditions, we obtain two different filtrations of modules in terms of the properties of cotransposes of modules with respect to a semidualizing bimodule. Then we apply these two filtrations of modules… read more here.
Keywords: modules applications; results modules; condition; filtration results ... See more keywords