There is an old Japanese saying that “Once we are in the land of the living, we will eventually
die.” This is true, not only for human beings, but also for the cells that constitute our bodies. …

In a recent paper (1) Nagata proved that a (linear associative) algebra, not necessarily of
finite dimension, over a field of characteristic 0 which satisfies the identical relation xn = 0 …

The classification of glomerulonephritis in systemic lupus erythematosus revisited.The currently
used classification reflects our understanding of the pathogenesis of the various forms of …

Fas ligand (FasL), a cell surface molecule belonging to the tumor necrosis factor family, binds
to its receptor Fas, thus inducing apoptosis of Fas-bearing cells. Various cells express Fas, …

In §1 of the present paper, we introduce the notion of a virtual linear system on a non-singular
projective surface and we clarify the theories of infinitely near points, of divisors and of …

… that there was some uncertainty about the validity of Nagata’s theorem over a general …
Nagata’s proof. I asked Deligne about this a few years later, and he said that by translating Nagata’…

The purpose of the present paper is to answer the question in the negative by giving a
counter-example. In fact, we shall give a counter-example to the following restricted case, which …

… It is proved that the well known Nagata automorphism of the polynomial ring in three
variables over a field of characteristic zero is wild, that is, it can not be decomposed into a …

The homeostasis of animals is regulated not only by the growth and differentiation of cells,
but also by cell death through a process known as apoptosis. Apoptosis is mediated by …

This classic work has been fundamentally revised to take account of recent developments in
general topology. The first three chapters remain unchanged except for numerous minor …