the aim of this paper is to introduce $(l,m)$-fuzzy closurestructure where $l$ and $m$ are strictly two-sided, commutativequantales. firstly, we define $(l,m)$-fuzzy closure spaces and getsome relations between $(l,m)$-double fuzzy topological spaces and$(l,m)$-fuzzy closure spaces. then, we introduce initial$(l,m)$-fuzzy closure structures and we prove that the category$(l,m)$-{bf fc} of $(l,m...

Italy was the first Western country hit by Covid-19 in February 2020, responding with a tight lockdown and full school closure until end of year. This paper estimates effect pandemic on math skills primary pupils Italy. We compare learning achievements two cohorts pupils, pre-Covid Covid cohort. For both cohorts, we match scores national standardised assessment grade 2 test delivered researcher...

Traumatic dislocation of the metacarpophalangeal joint is a relatively uncommon injury. The dislocation may be easily reducible (ie, simple) or require surgical intervention (ie, complex). The flexor tendons, lumbrical muscle, natatory ligament, and superficial transverse metacarpal ligament combine with the displaced volar plate to create a tight noose, preventing reduction. Surgical approach ...

A variety of complications in endoscopic third ventriculostomy have been reported, including neurovascular injury, hemodynamic alterations, endocrinologic abnormalities, electrolyte imbalances, cerebrospinal fluid leakage, fever and infection. Even though most complications are transient, the overall rate of permanent morbidity is 2.38% and the overall mortality rate is 0.28%. To avoid these se...

We study (slope-)stability properties of syzygy bundles on a projective space P given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal to have a semistable syzygy bundle. Restriction theorems for semistable bundles yield the same stability results on the generic complete intersection curve. From this we deduce a numerical f...

The aim of this article is to report a patient with an iatrogenic injury of the common peroneal nerve (CPN) caused by compression due to tight fascial closure after surgical excision of a skin mass in the posterolateral popliteal fossa area. Injury to the CPN results in significant disability with foot drop. Palsy of the CPN is a most frequent complication of various orthopedic or other surgica...

Lateral cervical meningocele is an extremely rare developmental anomaly. We could find only one such case protruding from an enlarged C2-3 intervertebral foramen. It may be confused with an extradural cyst or cystic hygroma. Direct needling may introduce infection and thereby pyogenic meningitis and so should be avoided. Similarly, incision and drainage may transform it into cerebrospinal fluid...

A canonical construction of a balanced big Cohen-Macaulay algebra for a domain of finite type over C is obtained by taking ultraproducts of absolute integral closures in positive characteristic. Among the applications are a new tight closure characterization of rational singularities in characteristic zero, and a necessary condition for Q-Gorenstein logterminal singularities. In particular, it ...

In recent decades, by exploiting the algebraic properties of the Frobenius in positive characteristic, many so-called homological conjectures and intersection conjectures have been established, culminating into the powerful theory of tight closure and big Cohen–Macaulay algebras. In the present article, I give a survey of how these methods also can be applied directly in characteristic zero by ...

In this note we show that finitely generated unit OX [σ]–modules for X regular and F–finite have a minimal root (in the sense of [Lyu97] Definition 3.6). This question was asked by Lyubeznik and answered by himself in the complete case. In fact, we construct a minimal subcategory of the category of coherent γ– sheaves (in the sense of [BB06]) which is equivalent to the category of γ–crystals. S...