a note on transfer theorems

A Note on the Chevalley–Warning Theorems

The most widely known result of Chevalley–Warning type states that if one has a polynomial over a finite field of characteristic p, and the number of variables exceeds the degree, then the number of zeros is a multiple of p. In particular, if the polynomial is homogeneous, there is at least one non-trivial zero. There are a number of related results in the literature. Generally, let Fq be a fin...

A Note on Closed Graph Theorems

We give a common generalisation of the closed graph theorems of De Wilde and of Popa.

A note on implicit multifunction theorems

Thepaper ismainly devoted to the studyof implicitmultifunction theorems in terms of Fréchet coderivative inAsplund spaces. It sharpens thewell-known implicit multifunction theorem of Ledyaev and Zhu (Set Valued Anal., 7, 209–238, 1999) as well as many recent publications about this significant area.

A note on the theorems ofM

Note on Some Gap Theorems

Note on Isomorphism Theorems of Hyperrings