In Theorem 5, the rationality of sigma is established under certain assumptions on the Galois group of mu(0)(T).doi:10.1080/00927879208824374NascimentoMaurl C.Taylor & Francis GroupCommunications in AlgebraM. Nascimento, Intersection of powers of prime ideals in Krull domains, Comm. Algebra 20 (...
We describe prime ideals of height 2 minimally generated by 3 elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a long-standing problem of J. Sally....
The Positivity of Intersection Multiplicities and Symbolic Powers of Prime Ideals Serre's nonnegativity conjecture for intersection multiplicities has recently been proven by O. Gabber. In this paper we investigate Serre's positivity con... K Kurano,PC Roberts - 《Compositio Mathematica》 被引量: 28...
It is shown that in a ringR satisfying a polynomial identity and the ascending chain condition on ideals,J k =0 for some appropriatek. This is a preview of subscription content, log in via an institution to check access. We’re sorry, something doesn't seem to be working properly. ...
Let's denote with [Math Processing Error] the set of prime ideals of height 1 in [Math Processing Error], then a curve y passing by x corresponds to the set of local branches [Math Processing Error]. But there might be some elements [Math Processing Error] which don't correspond to ...
Then the ideal [itex] I=(2)_{\mathbb{Z}} [/itex] gets sent to the ideal when intersected with but is prime whereas is not a prime ideal. So while the map definitely is not a surjective map from non-prime ideals to non-prime ideals, this is not equivalent to saying that we ...
Moreover, soft intersection bi-ideals, interior ideals, quasi-ideals, generalized bi-ideals of rings and soft semiprime ideals are defined and studied with respect to soft set operations and soft union–intersection product. In the following sections, regular, regular duo, intra-regular and ...
Using the fact that ideals K ∈ P(L) are prime we obtain P0 ∪···∪ Pi ⊆ K | βI1 ∧···∧βIq ∈ K . Denote ei = βI1 ∧···∧βIq . Hence for every I ∈ P0 ∪···∪ Pi(L) and for every J ∈ Pj(L) (j > i) we have ei ∈ I and ei ∈/ J. ...
Today is my birthday! I’m turning thirty-eight, which is such an uncomfy number. Thirty-seven at least had a little witchiness in it, and thirty-nine has the sense of near arrival, but thirty-eight is devoid of all personality. I bet you never met anybody who said, “Ooh! Thirty-...
Strong C-prime ideal1991 Mathematics Subject Classification: 13A15, 13F20, 13G05In this paper we establish several equivalent conditions for a commutative ring in which every principal ideal is a finite intersection of prime power ideals to be a general ZPI-ring. Using these results, we ...