FPF Ring Theory: Faithful Modules and Generators of Mod-R - Couverture souple

Livre 75 sur 387: London Mathematical Society Lecture Notes

Faith, Carl

9780521277389: FPF Ring Theory: Faithful Modules and Generators of Mod-R

Couverture souple

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

Editeur : Cambridge University Press, 1984

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This work includes all known theorems on the subject of noncommutative FPF rings.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right R-modules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasi-Frobenius rings (and thus finite rings over fields), pseudo-Frobenius (PF) rings (and thus injective cogenerator rings), bounded Dedekind prime rings and the following commutative rings; self-injective rings, Prufer rings, all rings over which every finitely generated module decomposes into a direct sum of cyclic modules (=FGC rings), and hence almost maximal valuation rings. Any product (finite or infinite) of commutative or self-basic PFP rings is FPF. A number of important classes of FPF rings are completely characterised including semiprime Neotherian, semiperfect Neotherian, perfect nonsingular prime, regular and self-injective rings. Finite group rings over PF or commutative injective rings are FPF. This work is the culmination of a decade of research and writing by the authors and includes all known theorems on the subject of noncommutative FPF rings. This book will be of interest to professional mathematicians, especially those with an interest in noncommutative ring theory and module theory.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Cambridge University Press
Date d'�dition: 1984
Langue: anglais
ISBN 10: 0521277388
ISBN 13: 9780521277389
Reliure: Broch�
Nombre de pages: 176
Coordonn�es du fabricant: non disponible
Personne responsable: Avery
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FPF Ring Theory: Faithful Modules and Generators of Mod-R (London Mathematical Society Lecture Note Series 88)

Faith, Carl, Page, Stanley

Edit� par Cambridge University Press, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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FPF Ring Theory : Faithful Modules and Generators of Mod-R

Page, Stanley, Faith, Carl

Edit� par Cambridge University Press, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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FPF Ring Theory: Faithful Modules and Generators of Mod-R: 88 (London Mathematical Society Lecture Note Series, Series Number 88)

Faith, Carl

Edit� par Cambridge University Press, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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FPF Ring Theory: Faithful Modules and Generators of Mod-R (London Mathematical Society Lecture Note Series, Series Number 88)

Faith, Carl; Page, Stanley

Edit� par Cambridge University Press, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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Fpf Ring Theory : Faithful Modules and Generators of Mod-R

Faith, Carl Clifton; Page, Stanley

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Fpf Ring Theory : Faithful Modules and Generators of Mod-R

Faith, Carl Clifton; Page, Stanley

Edit� par Cambridge University Press, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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Fpf Ring Theory: Faithful Modules and Generators of Mod-R (Paperback)

Carl Faith

Edit� par Cambridge University Press, Cambridge, 1984

ISBN 10 : 0521277388 ISBN 13 : 9780521277389

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Paperback. Etat : new. Paperback. This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right R-modules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasi-Frobenius rings (and thus finite rings over fields), pseudo-Frobenius (PF) rings (and thus injective cogenerator rings), bounded Dedekind prime rings and the following commutative rings; self-injective rings, Prufer rings, all rings over which every finitely generated module decomposes into a direct sum of cyclic modules (=FGC rings), and hence almost maximal valuation rings. Any product (finite or infinite) of commutative or self-basic PFP rings is FPF. A number of important classes of FPF rings are completely characterised including semiprime Neotherian, semiperfect Neotherian, perfect nonsingular prime, regular and self-injective rings. Finite group rings over PF or commutative injective rings are FPF. This work is the culmination of a decade of research and writing by the authors and includes all known theorems on the subject of noncommutative FPF rings. This book will be of interest to professional mathematicians, especially those with an interest in noncommutative ring theory and module theory. This is the first book on the subject of FPF rings and the systematic use of the notion of the generator of the category mod-R of all right R-modules and its relationship to faithful modules. This carries out the program, explicit of inherent, in the work of G Azumaya, H. Bass, R. Dedekind, S. Endo, I. Kaplansky, K. Morita, T. Nakayama, R. Thrall, and more recently, W. Brandal, R. Pierce, T. Shores, R. and S. Wiegand and P. Vamos, among others. FPF rings include quasi-Frobenius rings (and thus finite rings over fields), pseudo-Frobenius (PF) rings (and thus injective cogenerator rings), bounded Dedekind prime rings and the following commutative rings; self-injective rings, Prufer rings, all rings over which every finitely generated module decomposes into a direct sum of cyclic modules (=FGC rings), and hence almost maximal valuation rings. Any product (finite or infinite) of commutative or self-basic PFP rings is FPF. A number of important classes of FPF rings are completely characterised including semiprime Neotherian, semiperfect Neotherian, perfect nonsingular prime, regular and self-injective rings. Finite group rings over PF or commutative injective rings are FPF. This work is the culmination of a decade of research and writing by the authors and includes all known theorems on the subject of noncommutative FPF rings. This book will be of interest to professional mathematicians, especially those with an interest in noncommutative ring theory and module theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9780521277389

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