University of Guilan Journal of Algebra and Related Topics 2345-3931 8 1 2020 06 01 Characterization of some special rings via Linkage 67 81 4242 10.22124/jart.2020.15507.1186 EN M. Jahangiri Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran Kh. Sayyari Faculty of Mathematical sciences and computer, Kharazmi university, Tehran, Iran Journal Article 2020 01 20 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<br /> any unmixed ideal $\fa$ is linked by every maximal regular sequence in $\fa$.<br /> We also compute the annihilator of top local cohomology modules in some special cases. https://jart.guilan.ac.ir/article_4242_ed07d726d87963cd9b2a8b56f34dd7a9.pdf