Matej Bresar

Introduction to Noncommutative Algebra (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 199
• Erscheinungstermin: 14. Oktober 2014
• Englisch
• ISBN-13: 9783319086934
• Artikelnr.: 43798626

Autorenporträt

Matej BreSar is Professor of Mathematics at University of Ljubljana and University of Maribor. He is the author or co-author of over 140 research papers whose topics are mostly on noncommutative algebra and its applications. He is also the co-author of the book Functional identities (Birkhauser, 2007).