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 ....

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Autores principales: Hazewinkel, Michiel, 1943-, Gubareni, Nadezhda Mikhažlovna (Autor), Kiritchenko, Vladimir V. (Autor)
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Colección:Mathematics and Its Applications 575
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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
Tabla de Contenidos:
  • 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