Cohen-Macaulay and Gorenstein properties under the amalgamated construction

P. Sahandi, N. Shirmohammadi, S. Sohrabi

Let $A$ and $B$ be commutative rings with unity, $f:A\to B$ a ring homomorphism and $J$ an ideal of $B$. Then the subring $A{\bowtie }^{f}J:=\{(a,f(a)+j)|a\in A$ and $j\in J\}$ of $A\ti…