This is Volume II of a two-volume introductory text in classical
algebra. The text moves methodically with numerous examples and details
so that readers with some basic knowledge of algebra can read it without
difficulty. It is recommended either as a textbook for some particular
algebraic topic or as a reference book for consultations in a selected
fundamental branch of algebra. The book contains a wealth of material.
Amongst the topics covered in Volume are the theory of ordered fields
and Nullstellen-theorems. Known researcher Lorenz also includes the
fundamentals of the theory of quadratic forms, of valuations, local
fields and modules. What's more, the book contains some lesser known or
nontraditional results - for instance, Tsen's results on the solubility
of systems of polynomial equations with a sufficiently large number of
indeterminates. These two volumes constitute a very good, readable and
comprehensive survey of classical algebra and present a valuable
contribution to the literature on this subject.