Noetherian Semigroup Algebras

Noetherian Semigroup Algebras

Eric Jespers, Jan Okninski
Sukakah anda buku ini?
Bagaimana kualiti fail ini?
Muat turun buku untuk menilai kualitinya
Bagaimana kualiti fail yang dimuat turun?
Within the last decade, semigroup theoretical methods have occurred naturally in many aspects of ring theory, algebraic combinatorics, representation theory and their applications. In particular, motivated by noncommutative geometry and the theory of quantum groups, there is a growing interest in the class of semigroup algebras and their deformations.This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have been recently intensively studied. Several concrete constructions are described in full detail, in particular intriguing classes of quadratic algebras and algebras related to group rings of polycyclic-by-finite groups. These give new classes of Noetherian algebras of small Gelfand-Kirillov dimension. The focus is on the interplay between their combinatorics and the algebraic structure. This yields a rich resource of examples that are of interest not only for the noncommutative ring theorists, but also for researchers in semigroup theory and certain aspects of group and group ring theory. Mathematical physicists will find this work of interest owing to the attention given to applications to the Yang-Baxter equation.
Kategori:
Tahun:
2010
Edisi:
1st Edition.
Penerbit:
Springer
Bahasa:
english
Halaman:
355
ISBN 10:
9048174481
ISBN 13:
9789048174485
Nama siri:
Algebra and Applications
Fail:
PDF, 27.13 MB
IPFS:
CID , CID Blake2b
english, 2010
Baca dalam Talian
Penukaran menjadi sedang dijalankan
Penukaran menjadi gagal

Istilah utama