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arXiv · 1406.2145

Cohen-Macaulay and Gorenstein properties under the amalgamated construction

P. Sahandi·N. Shirmohammadi·S. Sohrabi
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Abstract

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 $A\bowtie^fJ:=\{(a,f(a)+j)|a\in A$ and $j\in J\}$ of $A\times B$ is called the amalgamation of $A$ with $B$ along with $J$ with respect to $f$. In this paper, among other things, we investigate the Cohen-Macaulay and (quasi-)Gorenstein properties on the ring $A\bowtie^fJ$.

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P. Sahandi, N. Shirmohammadi, S. Sohrabi. 2014-06-09. Cohen-Macaulay and Gorenstein properties under the amalgamated construction. https://arxiv.org/abs/1406.2145

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