Essential properties for rings of integer-valued polynomials

Let D be an integral domain with quotient field K. We consider the ring of integer-valued polynomials over D, namely, Int(D) ∶= {f ∈ K[X]; f(D) ⊆ D}. In this paper we investigate when Int(D) has essentialtype properties. In particular, we give a complete characterization of when Int(D)is locally essential, locally PvMD, locally UFD, locally GCD, Krull-type or generalized Krull

Invertibility of ideals in prüfer extensions

Using the general approach to invertibility for ideals in ring extensions given by Knebush and Zhang in [9], we investigate about connections between faithfully atness and invertibility for ideals in rings with zero divisors

Should we continue to study high-dose chemotherapy in metastatic breast cancer patients? A critical review of the published data

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A classification of the integrally closed rings of polynomials containing mathbbZ[X]mathbb Z[X]

We study the space of valuation overrings of Z[X] by ordering them using a constructive process. This is a substantial step toward classifying the integrally closed domains between Z[X] and Q[X] that are Pr¨ufer, the ones that are Noetherian, and the ones that are PvMDs, to name a few

Multiplicative properties of integer valued polynomials over split-quaternions

We study localization properties and the prime spectrum of the integer-valued polynomial ring (Formula presented.) where (Formula presented.) (respectively (Formula presented.)) is the algebra of split-quaternion over ℤ (respectively over (Formula presented.))

On weakly-Krull domains of integer-valued polynomials

Given an integral domain D with quotient field K, we consider the ring Int(D):={f∈K[X];f(D)⊆D} of integer-valued polynomials over D. This paper deals with the question of when Int (D) is a weakly-Krull domain

Venous thromboembolism after high-dose chemotherapy in a patient with Hodgkin's lymphoma receiving the new oral contraceptive ethinylestradiol and drospirenone ('Yasmine')

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