Let I denote an R+-primary homogeneous ideal in a normal standard-graded Cohen-Macaulay domain over a field of positive characteristic p. We give a linear degree bound for the Frobenius powers I [q] of I, q = p, in terms of the minimal slope of the top-dimensional syzygy bundle on the projective variety ProjR. This provides an inclusion bound for tight closure. In the same manner we give a line...

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...

This lectures were given by Florian Enescu at the mini-course on classical problems in commutative algebra held at University of Utah, June 2004. The references listed were used extensively in preparing these notes and the author makes no claim of originality. Moreover, he encourages the reader to consult these references for more details and many more results that had to be omitted due to time...

We examined the relationship between morphological characteristics of anthers and fertility in japonica rice cultivars subjected to high temperature (37.5(26 degrees C day/night) at flowering. Percentage fertility was negatively correlated with the number of cell layers that separated the anther locule from the lacuna that formed between the septum and the stomium. The cell layers consisted of ...

This note is about the relationship between two theories of negation as failure—one based on program completion, the other based on stable models, or answer sets. François Fages showed that if a logic program satisfies a certain syntactic condition, which is now called “tightness,” then its stable models can be characterized as the models of its completion. We extend the definition of tightness...

For Y a closed normal subvariety of codimension c of a smooth C–variety X, Brylinski and Kashiwara showed in [BK81] that the local cohomology module HcY (X,OX) contains a unique simple DX– submodule, denoted by L(Y, X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of L(Y,X) is given, relating it to ...

Many organs form by invaginating and rolling flat epithelial cell sheets into tubes. Invagination of the ventral midline of the neural plate forms the median hinge point (MHP), an event that elevates the neural folds and is essential for neural tube closure (NTC). MHP formation involves dynamic spatiotemporal modulations of cell shape, but how these are achieved is not understood. Here, we show...

In voltage-gated K(+) channels (Kv), an intracellular gate regulates access from the cytoplasm to the pore by organic channel blockers and by chemical modifiers. But is ion flow itself controlled instead by constriction of the narrow selectivity filter near the extracellular surface? We find that the intracellular gate of Kv channels is capable of regulating access even by the small cations Cd(...

purpose: to evaluate all cases of drug induced angle closure glaucoma cases who presented to feiz hospital, isfahan during 2008-2010. case report: in this retrospective case series, we present 7 cases of drug induced angle closure glaucoma after administration of topiramate. all patients were female. the average age of patients was 33.28 years old (ranging from 19 to 44). with sufficient cornea...