A separated cohomologically complete module is complete Academic Article uri icon

abstract

  • The module M is called -adically complete (resp. -adically separated) if the canonical homomorphism τ M : M → Λ (M) is bijective (resp. injective). It is known that the completion Λ (M) is -adically complete (see [10 Yekutieli , A. ( 2011 ). On flatness and completion for infinitely generated modules over Noetherian rings . Communications in Algebra 39 ( Issue 11 ): 4221 – 4245 .[Taylor & Francis Online], [Web of Science ®] [Google Scholar], Corollary 3.6]) … . See [5 Porta , M. , Shaul , L. , Yekutieli , A. ( 2014 ). On the homology of completion and torsion . Algebras and Representation Theory 17 : 31 – 67 . Online http://dx.doi.org/10.1007/s10468-012-9385-8 .[CrossRef], [Web of Science ®] [Google Scholar]] for more details … The next example (taken from [10 Yekutieli , A. ( 2011 ). On flatness and completion for infinitely generated modules over Noetherian rings . Communications in Algebra 39 ( Issue 11 ): 4221 – 4245 .[Taylor & Francis Online] …

publication date

  • January 1, 2015