… a new ring, called the amalgamated duplication of R along M… general situation, we need to
work with another ideal that … h-local Prüfer domains each of whose maximal ideals is finitely …

… amalgamation equipped with an ideal by using a ring homomorphism. In this section, we give
an equivalent condition for the amalgamated algebra along an ideal … of the amalgamated …

… jectured that Prüfer domains for which, “an ideal is invertible (… is the amalgamated duplication
of a ring along an ideal I (… -like conditions in amalgamated algebra along an ideal, Afr. …

… called the amalgamation of A with B along J with respect to f. … of the amalgamated duplication
of a ring along an ideal (cf., for … ) Prüfer conditions in an amalgamated duplication of a ring …

… those rings in which every finitely presented proper ideal is regular. We establish the transfer
of this notion to the trivial ring … rings, and Prüfer/semihereditary rings. For instance see [13]. …

… , Boolean algebras, von Neumann regular rings, and Prüfer/semihereditary rings. For …
Also if I is an ideal of a ring R, we don’t have R/I is p-coherent implies that R is p-coherent in …

… duplications of rings along ideals, it is worth noting that in [6] the author showed that the
amalgamated duplication of an algebroid curve along … of rings strengthening a little the condition …

… An integral domain D is said to be a Prüfer v–multiplication … Next we establish necassary
and sufficient conditions for a … definition of amalgamated algebras along an ideal as follows…

… of oneKrull-dimensional Bézout rings (see condition (4) of … of rings and amalgamated
duplication of a ring along an ideal… 0 there exists a Prüfer domain D with an ideal I generated by at …

… ring (eg, if R is a Prufer domain). It was shown in [47] that if I[X] is an n-absorbing ideal of R[X],
then I is a strongly n-absorbing ideal … a commutative ring R is said to be a U-ring provided …