Regularity and substructures of Hom
Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 1...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2009. |
| Serier: | Frontiers in Mathematics
|
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'apès consultation du 30 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Regularity and Substructures of Hom, Texte imprimé, 9783034600842 • Regularity and substructures of Hom, Friedrich Kasch, Adolf Mader, 2009, Basel, Birkhäuser, 1 vol. (XV-164 p.), Frontiers in mathematics, 978-3-7643-9989-4 |
| LEADER | 04392nam a22004937a 4500 | ||
|---|---|---|---|
| 001 | 941332 | ||
| 008 | 090420q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN132875039 | ||
| 020 | |a 9783764399900 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.46 | ||
| 084 | |a 08A05. 2000 | ||
| 084 | |a 08A35. 2000 | ||
| 084 | |a 13A10. 2000 | ||
| 084 | |a 13C1x. 2000 | ||
| 084 | |a 13E99. 2000 | ||
| 084 | |a 16Dxx. 2000 | ||
| 084 | |a 16S50. 2000 | ||
| 084 | |a 20Kxx. 2000 | ||
| 100 | 1 | |a Kasch, Friedrich, |d 1921-2017, |c mathématicien-physicien. | |
| 245 | 1 | 0 | |a Regularity and substructures of Hom |c Friedrich Kasch, Adolf Mader. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a Description d'apès consultation du 30 janvier 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Notation and Background -- Regular Homomorphisms -- Indecomposable Modules -- Regularity in Modules -- Regularity in HomR(A, M) as a One-sided Module -- Relative Regularity: U-Regularity and Semiregularity -- Reg(A, M) and Other Substructures of Hom -- Regularity in Homomorphism Groups of Abelian Groups -- Regularity in Categories | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the interest lay in determining those groups whose endomorphism rings were regular or had related properties ([11, Section 112], [29], [30], [12], [13], [24]). An interesting feature was introduced by Brown and McCoy ([4]) who showed that every ring contains a unique largest ideal, all of whose elements are regular elements of the ring. In all these studies it was clear that regularity was intimately related to direct sum decompositions. Ware and Zelmanowitz ([35], [37]) de?ned regularity in modules and studied the structure of regular modules. Nicholson ([26]) generalized the notion and theory of regular modules. In this purely algebraic monograph we study a generalization of regularity to the homomorphism group of two modules which was introduced by the ?rst author ([19]). Little background is needed and the text is accessible to students with an exposure to standard modern algebra. In the following, Risaringwith1,and A, M are right unital R-modules | ||
| 650 | |a Homomorphismes (mathématiques) | ||
| 650 | |a Anneaux (algèbre) | ||
| 650 | |a Modules (algèbre) | ||
| 700 | 1 | |a Mader, Adolf, |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |t Regularity and Substructures of Hom |b Texte imprimé |z 9783034600842 | |
| 776 | 0 | |0 131854445 |t Regularity and substructures of Hom |f Friedrich Kasch, Adolf Mader |d 2009 |c Basel |n Birkhäuser |p 1 vol. (XV-164 p.) |s Frontiers in mathematics |z 978-3-7643-9989-4 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-9990-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-GNZ8T4Z0-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747848629 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-9990-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750866144 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-9990-0 |z Accès INSA CVL | |
| 997 | |0 941332 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||