Differentiability in local fields of prime characteristic

Differentiability in Local Fields

Interpolation Series in Local Fields of Prime Characteristic

Fixed-point-free Representations over Fields of Prime Characteristic

The irreducible representations over prime fields of characteristic p for those solvable groups which occur as groups of fixed-point-free automorphisms on finite groups are determined.

Coefficient Subrings of Certain Local Rings with Prime-power Characteristic

If R is a local ring whose radical J(R) is nilpotent and R/J(R) is a commutative field which is algebraic over GF(p), then R has at least one subring S such that S w*=,S,, where each S, is isomorphic to a Galois ring and S/J(S) is naturally isomorphic to R/J(R). Such subrings ofR are mutually isomorphic, but not necessarily conjugate in R.

Singularities in Prime Characteristic

(1) Frobenius splitting in commutative algebra, Karen Smith and Wenliang Zhang. (2) A survey of test ideals, Karl Schwede and Kevin Tucker. (3) Globally F-regular and log Fano varities, Karl Schwede and Karen Smith. (4) Characterizations of regular local rings of characteristic p, Ernst Kunz. (5) On Noetherian rings of characteristic p, Ernst Kunz. (6) F-purity and rational singularity, Richard...