ABSTRACT
This study demonstrates the key manipulations surrounding Brauer groups, graded rings, group representations, ideal classes of number fields, p-adic differential equations, and rationality problems of invariant fields - displaying a command of the most advanced methods in algebra. It describes new developments in noncommutative valuation theory and
TABLE OF CONTENTS
chapter |9 pages
FP-gr-injective modules and gr-FC-rings
M.J. ASENSIO, J.A. LOPEZ RAMOS, B. TORRECILLAS Departamento de Algebra y Analisis Matematico, Universidad de Almeria, 04120 Almeria, Spain There are many results of a homological nature which may be generalized from noetherian to coherent rings. In this process finitely generated modules should
part |1 pages
An introduction to the Galois theory for graded fields
chapter |11 pages
R\-R$ C
for every X,6 € F. As usual, the elements x of .R^ are called homogeneous of degree X. We write deg(rr) = A. Let .R is called a graded field if R ^ {0} and if every non-zero homogeneous element is invertible. In this case, TR is a group, called the grading group of R. From now on,
chapter |16 pages
Generic abelian crossed products and graded divi-sion algebras
M'HAMMED BOULAGOUAZ, KARIM MOUNIRH Sidi Mohamed Ben Abdel-
chapter |12 pages
Strictly analytic p-adic functions
KAMAL BOUSSAF Laboratoire de Mathematiques Pures, Universite Blaise Pas-
part |2 pages
[\HJ#S\] = [\S#S\] = 1
chapter |10 pages
The coradical filtration for some quantum groups
WILLIAM CHIN DePaul University, Chicago, Illinois, USA 1. INTRODUCTION
chapter |10 pages
Multiplication graded rings
JOSE ESCORIZA, BLAS TORRECILLAS Departamento de Algebra y Analisis Matematico, Universidad de Almeria, 04120 Almeria, Spain 1. INTRODUCTION In 1925, W. Krull introduced the concept of multiplication ring as a generalization of Dedekind domains. In 1981, Barnard defines the modern notion of multiplication
chapter |12 pages
Linear and monomial automorphisms of fields of ra- tional functions: some elementary issues
1. INTRODUCTION
part |1 pages
Integral representations of some p-groups
chapter |10 pages
A nonrational field, answering a question of Hajja
DAVID J. SALTMAN Department of Mathematics, The University of Texas,
