… rings in which every finitely generated prime proper ideal is regular and which we called a F
GP R-rings. … Then, R is an F GP R-ring if and only if one of the following conditions holds: (a) …

… amalgamated duplication construction A ▷◁ I of a ring A along an ideal I of A to the general
context of ring … The situation is different if R is a coherent ring. In this case it is clear that non …

… R) is a Noetherian ring, we just need to verify the conditions (a)-… , An amalgamated duplication
of a ring along an ideal: the … Xiong, XW Sun, Every Prüfer ring does not have small finitistic …

… condition FP2 is implied by being finitely presented and a group satisfying this condition is …
all of whose Sylow subgroups have Prüfer-rank at most r, then S has Prüfer rank at most r + 1. …

… So we show the amalgamation property. Let M ≤p N1,N2 be … (2) ⇒: If R is a field, clearly R
is a Prüfer domain. So the class … Moreover, we give a condition that implies a positive solution …

… circle (the rational numbers on the circle Q/Z) or the Prüfer … If the Prüfer group was not
natural, then then also T would be … We have now a necessary algebraic condition which allows …

… The specific conditions on the presentations are geometric conditions on a specific complex
… extension or very specific groups as groups of finite Prüfer rank (ie there is a fixed d such …

… for instance the Prüfer p-group, or see the more interesting finitely generated Example 3.7. …
be positive, we will see that in many cases this condition is in fact optimal (see Remark 4.2). …

… Using finiteness-related results for non-abelian tensor products, we prove finiteness conditions
… Moreover, we study other finiteness conditions and equivalence properties that arise from …

… cells, organisms, species and ecosystems, along with their component genes and other
molecules. Evolution can take place when several conditions are fulfilled: variations among the …