Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Galois Module Structure Of Ideals In Wildly Ramified Cyclic Extensions Of Degree P2, Gove Griffith Elder
Galois Module Structure Of Ideals In Wildly Ramified Cyclic Extensions Of Degree P2, Gove Griffith Elder
Mathematics Faculty Publications
For L/K, any totally ramified cyclic extension of degree p2 of local fields which are finite extensions of the field of p-adic numbers, we describe the Zp[Gal(L/K)]-module structure of each fractional ideal of L explicitly in terms of the 4p+1 indecomposable Zp[Gal(L/K)]-modules classified by Heller and Reiner. The exponents are determined only by the invariants of ramification.
Spectral Properties Of Operators Having Dense Orbits, Valentin Matache
Spectral Properties Of Operators Having Dense Orbits, Valentin Matache
Mathematics Faculty Publications
In the following H will denote a separable, infinite-dimensional, complex Hilbert space. The term operator will always mean linear, bounded operator on H. By invariant subspace we mean closed, invariant linear manifold. For a given operator T, the set of all invariant subspaces of T will be denoted LatT, since obviously it is a lattice. The set of all operators commuting with T is denoted {T}'. A subspace will be called hyperinvariant for T if it is invariant under any operator in {T}'.