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

Robotic-assisted unicompartimental knee arthroplasty performed with Navio system: a systematic review

OBJECTIVE: Robotic-assisted arthroplasty is a relatively modern concept, quickly arising in its use. The aim of this systematic review is to assess, according to the existing literature, which are the functional and clinical outcomes and component positioning and implant survivorship of unicompartmental knee arthroplasty surgery performed using an image-free hand-held robotic system. Moreover, we analyzed whether there are significant differences and advantages compared to conventional surgery. MATERIALS AND METHODS: A systematic review has been performed on studies published between 2004 and 2021, on the electronic library databases, according to the Preferred Reporting Items of Systematic Reviews and Meta- analysis (PRISMA) statement. The inclusion criteria were all studies described as unicompartmental knee arthroplasty performed with the Navio robotic system. RESULTS: Fifteen studies were included, and 1,262 unicondylar knee arthroplasties were analyzed. These studies showed a satisfactory recovery of joint function, with a good range of motion (extension <5° and flexion which ranged from 105° to 130.3°) in patients of the NAVIO group. The revision rate was <2% while the infection rate <1%; no postoperative transfusion was needed in all UKA implanted. CONCLUSIONS: The use of a robotic tool for unicompartmental knee arthroplasty (UKA) could lead to a better implant positioning and joint alignment than conventional surgery. There is still limited evidence to support that the use of this robot in unicompartmental knee arthroplasty is a greater survivorship than other systems or conventional techniques; therefore, a longterm follow-up is needed

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