Geodesic
(Generalized) filter properties of the amalgamated algebra
Archivum mathematicum, Tome 58 (2022) no. 3, pp. 133-140.

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Let R and S be commutative rings with unity, f:R→S a ring homomorphism and J an ideal of S. Then the subring R⋈fJ:={(a,f(a)+j)∣a∈R and j∈J} of R×S is called the amalgamation of R with S along J with respect to f. In this paper, we determine when R⋈fJ is a (generalized) filter ring.
DOI : 10.5817/AM2022-3-133
Classification : 13A15, 13C14, 13C15, 13E05, 13H10
Mots-clés : amalgamated algebra; Cohen-Macaulay ring; f-ring; generalized f-ring 
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Azimi, Yusof. (Generalized) filter properties of the amalgamated algebra. Archivum mathematicum, Tome 58 (2022) no. 3, pp. 133-140. doi : 10.5817/AM2022-3-133. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2022-3-133/

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