Classical Artinian Rings And Related Topics (Hardback)
  • Classical Artinian Rings And Related Topics (Hardback)
zoom

Classical Artinian Rings And Related Topics (Hardback)

(author), (author)
£95.00
Hardback 312 Pages / Published: 04/09/2009
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate ring theorists with their abundance of properties and structural depth. In 1978, M Harada introduced a new class of artinian rings which were later called Harada rings in his honour. Quasi-Frobenius rings, Nakayama rings and Harada rings are very closely interrelated. As a result, from a new perspective, we may study the classical artinian rings through their interaction and overlap with Harada rings. The objective of this seminal work is to present the structure of Harada rings and provide important applications of this structure to the classical artinian rings. In the process, we cover many topics on artinian rings, using a wide variety of concepts from the theory of rings and modules. In particular, we consider the following topics, all of which are currently of much interest and ongoing research: Nakayama permutations, Nakayama automorphisms, Fuller's theorem on i-pairs, artinian rings with self-duality, skew-matrix rings, the classification of Nakayama rings, Nakayama group algebras, the Faith conjecture, constructions of local quasi-Frobenius rings, lifting modules, and extending modules. In our presentation of these topics, the reader will be able to retrace the history of artinian rings.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789814287241
Number of pages: 312
Weight: 590 g
Dimensions: 229 x 157 x 20 mm

You may also be interested in...

Schaum's Outline of Group Theory
Added to basket
Molecular Symmetry and Group Theory
Added to basket
Basic Category Theory
Added to basket
Introduction to Algebra
Added to basket
Groups - Modular Mathematics Series
Added to basket
Symmetry: A Very Short Introduction
Added to basket

Please sign in to write a review

Your review has been submitted successfully.