Algebras, rings and modules. Volume 1
Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative numbersystem ....
محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| سلاسل: | Mathematics and Its Applications
575 |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebras, Rings and modules, volume 1, by Michiel Hazewinkel,... Nadiya Gubareni,... and V. V Kirichenko,..., 2004, Dordrecht, Kluwer Academic Publishers, 1 vol. (XII-380 p.), Mathematics and its applications, 978-90-481-6704-3 |
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| 100 | 1 | |a Hazewinkel, Michiel, |d 1943- | |
| 245 | 1 | 0 | |a Algebras, rings and modules. |n Volume 1 |c by Michiel Hazewinkel, Nadiya Gubareni, V. V. Kirichenko. |
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathematics and Its Applications |v 575 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preliminaries Decompositions of rings Artinian and Noetherian rings Categories and functors Projectives, injectives and flats Homological dimensions Integral domains Dedekind domains Goldie rings Semiperfect rings Quivers of rings Serial rings and modules Serial rings and their properties Semiperfect semidistributive rings | |
| 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 Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative numbersystem . During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative algebras, began to bring some order into them and to single out certain types of algebras for special attention. Thus, low-dimensional algebras, division algebras, and commutative algebras, were classi?ed and characterized. The ?rst complete results in the structure theory of associative algebras over the real and complex ?elds were obtained by T.Molien, E.Cartan and G.Frobenius. Modern ring theory began when J.H.Wedderburn proved his celebrated cl- si?cation theorem for ?nite dimensional semisimple algebras over arbitrary ?elds. Twenty years later, E.Artin proved a structure theorem for rings satisfying both the ascending and descending chain condition which generalized Wedderburn structure theorem. The Wedderburn-Artin theorem has since become a corn- stone of noncommutative ring theory. The purpose of this book is to introduce the subject of the structure theory of associative rings. This book is addressed to a reader who wishes to learn this topic from the beginning to research level. We have tried to write a self-contained book which is intended to be a modern textbook on the structure theory of associative rings and related structures and will be accessible for independent study | ||
| 700 | 1 | |a Gubareni, Nadezhda Mikhažlovna. |4 aut | |
| 700 | 1 | |a Kiritchenko, Vladimir V. |4 aut | |
| 776 | 0 | |0 084119179 |t Algebras, Rings and modules |h volume 1 |f by Michiel Hazewinkel,... Nadiya Gubareni,... and V. V Kirichenko,... |d 2004 |c Dordrecht |n Kluwer Academic Publishers |p 1 vol. (XII-380 p.) |s Mathematics and its applications |z 978-90-481-6704-3 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LQVBDV32-W |z Accès sur la plateforme Istex | |
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