Abstract
Let A and B be commutative rings with unity, f: A → B a ring homomorphism, and J an ideal of B. Then the subring A ⋈fJ: = {(a, f(a) + j)|a ∈ A and j ∈ J} of A × B is called the amalgamation of A with B along J with respect to f. In this article, among other things, we investigate the Cohen–Macaulay and (quasi-)Gorenstein properties on the ring A ⋈fJ.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENT
The authors are deeply grateful to the referee for his/her careful reading of the article and valuable suggestions.