[图书][B] Methods of graded rings

C Nastasescu, F Van Oystaeyen - 2004 - books.google.com
The topic of this book, graded algebra, has developed in the past decade to a vast subject
with new applications in noncommutative geometry and physics. Classical aspects relating …

[图书][B] Brauer groups and the cohomology of graded rings

S Caenepeel - 2020 - books.google.com
This book introduces various notions defined in graded terms extending the notions most
frequently used as basic ingredients in the theory of Azumaya algebras: separability and …

Gröbner bases, local cohomology and reduction number

N Trung - Proceedings of the American Mathematical Society, 2001 - ams.org
D. Bayer and M. Stillman showed that Gröbner bases can be used to compute the
Castelnuovo-Mumford regularity which is a measure for the vanishing of graded local …

Separable algebras

F Van Oystaeyen - Handbook of Algebra; Hazewinkel, M., Ed.; Elsevier …, 2000 - Elsevier
Publisher Summary This chapter focuses on the aspects of the Brauer group that are close
to the algebraic theory concerning the separable algebras representing the elements …