Introduction to Noncommutative Algebra
This textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products. The final chapters cover free algebras, polyno...
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| Váldodahkki: | |
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| Searvvušdahkki: | |
| Materiálatiipa: | Elektrovnnalaš E-girji |
| Giella: | eaŋgalasgiella |
| Almmustuhtton: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Preanttus: | 2nd ed. 2025. |
| Ráidu: | Universitext,
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| Fáttát: | |
| Liŋkkat: | https://doi.org/10.1007/978-3-031-96296-7 |
| Fáddágilkorat: |
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| 100 | 1 | |a Brešar, Matej. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Introduction to Noncommutative Algebra |h [electronic resource] / |c by Matej Brešar. |
| 250 | |a 2nd ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XLII, 234 p. 4 illus.). | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
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| 505 | 0 | |a Chapter 1. Finite Dimensional Division Algebras -- Chapter 2. Structure of Finite Dimensional Algebras -- Chapter 3. Modules and Semisimple Rings -- Chapter 4. Structure of Rings -- Chapter 5. Tensor Products in Noncommutative Algebra -- Chapter 6. Noncommutative Polynomials -- Chapter 7. Rings of Quotients and Structure of PI-Rings. | |
| 520 | |a This textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products. The final chapters cover free algebras, polynomial identities, and rings of quotients. Many results are presented in a simplified form rather than in full generality, with an emphasis on clear and understandable exposition. Prerequisites are kept to a minimum, and new concepts are introduced gradually and carefully motivated. Introduction to Noncommutative Algebra is thus accessible to a broad mathematical audience, though it is primarily intended for beginning graduate students and advanced undergraduates encountering the subject for the first time. This new edition includes several additions and improvements, while preserving the original text’s character and approach. Praise for the first edition: “It will soon find its place in classrooms” — Plamen Koshlukov, Mathematical Reviews “Very well written [...] very pleasant to read” — Veereshwar A. Hiremath, zbMATH “An excellent choice for a first graduate course” — D. S. Larson, Choice. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Associative rings. | |
| 650 | 0 | |a Associative algebras. | |
| 650 | 1 | 4 | |a Associative Rings and Algebras. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031962950 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031962974 |
| 830 | 0 | |a Universitext, |x 2191-6675 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-96296-7 |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
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