AN INTRODUCTION TO MOORE-PENROSE RINGS: Volume I - Couverture souple

Battle, Gregory

 
9780595378067: AN INTRODUCTION TO MOORE-PENROSE RINGS: Volume I
Couverture souple
ISBN 10 : 0595378064 ISBN 13 : 9780595378067
Editeur : iUniverse, 2006

Synopsis

The structure of Moore Penrose rings are analyzed with precise pristine logic by examining the detailed pulchritude of these prolific algebraic systems in the engineering and physical science disciplines. The early portion of this literary exposition employs formal ring classification by dissecting MP1 (or Von Neumann regular) rings from a perspective which justifies the usefulness of Moore Penrose rings in the error analysis of statistical regression, or as an optimization mechanism using the method of least squares. Subsequent sections contain both local and global inspections of these multifaceted Moore Penrose rings: their characterizations by idempotents; their integral extensions and matrix ring embeddings; their modular qualities and representations as direct sums and summands, as well as their preservation under canonical ring homomorphisms. This concise and taxonomical treatment of Moore Penrose rings allows this introduction to be a handy platform for promoting their research potential-not to overlook their appeal for reinforcing basic ring theory concepts for the beginning contemporary algebra student.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The structure of Moore Penrose rings are analyzed with precise pristine logic by examining the detailed pulchritude of these prolific algebraic systems in the engineering and physical science disciplines. The early portion of this literary exposition employs formal ring classification by dissecting MP1 (or Von Neumann regular) rings from a perspective which justifies the usefulness of Moore Penrose rings in the error analysis of statistical regression, or as an optimization mechanism using the method of least squares. Subsequent sections contain both local and global inspections of these multifaceted Moore Penrose rings: their characterizations by idempotents; their integral extensions and matrix ring embeddings; their modular qualities and representations as direct sums and summands, as well as their preservation under canonical ring homomorphisms. This concise and taxonomical treatment of Moore Penrose rings allows this introduction to be a handy platform for promoting their research potential-not to overlook their appeal for reinforcing basic ring theory concepts for the beginning contemporary algebra student.

Biographie de l'auteur

Gregory Battle is a Phi Beta Kappa graduate of Morehouse College. His graduate studies were in theoretical algebra at Washington University in St. Louis. He has performed strategic research (with numerous publications) at the Coastal Systems Station, NASA Marshall Space Flight Center and the Air Force Research Laboratory (Hanscom AFB).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
iUniverse
Date d'édition
2006
Langue
anglais
ISBN 10 
0595378064
ISBN 13 
9780595378067
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

Krügerweg 1
Trebbin
Brandenburg
14959
Allemagne