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Introduction to noncommutative algebraBrešar, MatejThis book: (i) provides an easy-to-read introduction to noncommutative rings and algebras, (ii) makes the theory, usually treated in more advanced texts, accessible to undergraduate students, (iii) ... presents new proofs of some classical theorems. Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time.Type of material - scientific monograph ; adult, seriousPublication and manufacture - Cham [etc.] : Springer, cop. 2014Language - englishISBN - 978-3-319-08692-7; 978-3-319-08693-4COBISS.SI-ID - 17143897
Author
Brešar, Matej
Collection
Universitext
Topics
Matematika |
Algebra |
Učbeniki za višje šole |
division ring |
module |
noncommutative rings and algebras |
polynomial identity |
prime ring |
primitive ring |
radical |
rings of quotients |
semiprime ring |
simple ring |
structure of rings and algebras |
tensor product
Library/institution |
City | Acronym | For loan | Other holdings |
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FMF and IMFM, Mathematical Library, Ljubljana | Ljubljana | MAKLJ |
outside loan 6 cop.
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Miklošič Library FPNM, Maribor | Maribor | PEFMB |
outside loan 2 cop.
reading room 1 cop. |
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University of Maribor Library | Maribor | UKM |
outside loan 2 cop.
reading room 1 cop. |
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National and University Library, Ljubljana | Ljubljana | NUK |
reading room 1 cop.
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Database name | Field | Year |
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Brešar, Matej | 08721 |
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