Circle the Truth

Circle the Truth

Strange things are happening in Rith’s house at night. First a spiral staircase replaces the regular stairs. The new stairs lead to a living room that isn’t his, a cat that isn’t his either, and a bizarre old man whose words are just gibberish. Or are they? Rith’s never been into religion. But he realizes those words have a spiritual sourceand an uncanny ring of truth. Is he just dreaming? Is the old man God? As Rith tries to circle closer to the truth, the line between reality and unreality blurs

Circle the Truth

The Ring and the Crown

The Ring and the Crown

The first in a brand new series by New York Times best-selling author Melissa de la Cruz.

The Ring and the Crown

Basic Theory of Algebraic Groups and Lie Algebras

Basic Theory of Algebraic Groups and Lie Algebras

he theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and

Basic Theory of Algebraic Groups and Lie Algebras

Noncommutative Noetherian rings

Noncommutative Noetherian rings

Provides a comprehensive account of the major developments in this important branch of ring theory which have taken place over the past 30 years. Much of the material which comprises this volume has not appeared anywhere in book form before, and the authors have improved and simplified many of the accounts available in journals. The first few chapters form a basic course” which introduces the reader to the subject. Subsequent chapters are each relatively self-contained, so that readers interested in a particular subject can easily consult the sections they want. Specific topics covered include rings arising from matrices, differential operators, and Lie algebras. Contains extensive references.

Noncommutative Noetherian rings

The Jacobson Radical of Group Algebras

The Jacobson Radical of Group Algebras

Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interesting results have been obtained. This volume examines these results.

The Jacobson Radical of Group Algebras

Algebraic Cobordism

Algebraic Cobordism

Following Quillen’s approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen’s theorems: the cobordism of the base field is the Lazard ring and the cobordism of a smooth variety is generated over the Lazard ring by the elements of positive degrees. This implies in particular the generalized degree formula conjectured by Rost. The book also contains some examples of computations and applications.

Algebraic Cobordism