%0 Journal Article
%T Characterization of some special rings via Linkage
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Jahangiri, M.
%A Sayyari, Kh.
%D 2020
%\ 06/01/2020
%V 8
%N 1
%P 67-81
%! Characterization of some special rings via Linkage
%K Linkage of ideals
%K Cohen-Macaulay modules
%K local cohomology
%K Special rings
%R 10.22124/jart.2020.15507.1186
%X Providing a description of linked ideals in a commutative Noetherian ring in terms of some associated prime ideals, we make a characterization of Cohen-Macaulay, Gorenstein and regular local rings in terms of their linked ideals. More precisely, it is shown that the local ring $(R,\fm)$ is Cohen-Macaulay if and only if any linked ideal is unmixed. Also, $(R,\fm)$ is Gorenstein if and only if any unmixed ideal $\fa$ is linked by every maximal regular sequence in $\fa$. We also compute the annihilator of top local cohomology modules in some special cases.
%U https://jart.guilan.ac.ir/article_4242_ed07d726d87963cd9b2a8b56f34dd7a9.pdf