… the amalgamated duplication ring R ▷◁ I which is introduced by D’Anna and Fontana. It is
shown that if R is generically Cohen-Macaulay (… and I is maximal CohenMacaulay. In [1] it is …

… CohenMacaulay in the sense of a non-empty class of ideals, we mean A ◃▹f J is Cohen-Macaulay …
Then, A ◃▹f J is CohenMacaulay (ring) in the sense of maximal ideals if and only if A …

… duplication of some special rings achieved by D’Ama and Fontana. Let N be a … generically
CohenMacaulay (resp. generically Gorenstein) and I is generically maximal Cohen-Macaulay (…

… In this paper, we study some ring theoretic properties of the amalgamated duplication ring R
… (Sn), and when is a normal ring, a generalized Cohen-Macaulay ring and finally a filter ring. …

… With it, we not only offer an application of the above lemma, but we also provide more
information about the Cohen–Macaulayness under the amalgamation than was given in [9, …

… amalgamated duplication … Cohen–Macaulay ring with canonical module ωR, then R⊳⊲I
is a Gorenstein ring if and only if I∼=ωR. Since in the one-dimensional local Cohen–Macaulay …

… amalgamated algebra (or amalgamation) of R with S along J with respect to f. This construction
generalizes the amalgamated duplication … a characterization for Cohen-Macaulayness of …

… general frame for studying the amalgamated duplication of a ring along an ideal. The
amalgamation of R with S along J with respect to f is a subring of R × S which is defined as follows: …

… This construction generalizes the amalgamated duplication of a ring along an ideal (introduced
and studied in [13]). Moreover, several classical constructions such as Nagata’s …

… If we started with a maximal Cohen–Macaulay module, except for possible free summands,
… In return we obtain a complete resolution—and a maximal Cohen–Macaulay module as its 0-…