Lattice-ordered Rings and Modules [recurso electrónico] / by Stuart A. Steinberg.

Por: Steinberg, Stuart A [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoEditor: New York, NY : Springer New York, 2010Edición: FirstDescripción: XVIII, 630 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441917218Tema(s): Mathematics | Algebra | Mathematics | Order, Lattices, Ordered Algebraic Structures | Algebra | Non-associative Rings and AlgebrasFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 511.33 Clasificación LoC:QA172-172.4QA171.5Recursos en línea: Libro electrónico Texto

Contenidos:

Partially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics.

En: Springer eBooksResumen: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics. Key topics include: *lattice-ordered groups, rings, and fields; *archimedean l-groups; *f-rings and larger varieties of l-rings; *the category of f-modules; *various commutativity results. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA172 -172.4 (Browse shelf(Abre debajo))	1	No para préstamo		371417-2001

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Previo	QA169 Towards Higher Categories	QA169 Simplicial Methods for Operads and Algebraic Geometry	QA169 Categories and Commutative Algebra	QA172 -172.4 Lattice-ordered Rings and Modules	QA174 -183 Groups and Symmetries	QA174 -183 Mirrors and Reflections	QA174 -183 Representation Theory of Algebraic Groups and Quantum Groups	Siguiente

Partially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics.

This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics. Key topics include: *lattice-ordered groups, rings, and fields; *archimedean l-groups; *f-rings and larger varieties of l-rings; *the category of f-modules; *various commutativity results. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.