Algebras, Rings and Modules: Volume 1 (Mathematics and Its Applications) (by Michiel Hazewinkel, V.V. Kirichenko, Nadiya Gubareni)


Author(s): Michiel Hazewinkel, V.V. Kirichenko, Nadiya Gubareni

Publisher: Springer
Publish date: 2004-12-20
ISBN-10: 1402026900
ISBN-13: 9781402026904
Language: English
Description: 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… more…

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