Introduction to Ring and Module Theory / / by Alberto Facchini
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| Autore: |
Facchini Alberto
|
| Titolo: |
Introduction to Ring and Module Theory / / by Alberto Facchini
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (440 pages) |
| Disciplina: | 512.46 |
| Soggetto topico: | Associative rings |
| Associative algebras | |
| Algebra, Homological | |
| Associative Rings and Algebras | |
| Category Theory, Homological Algebra | |
| Anells associatius | |
| Àlgebres associatives | |
| Àlgebra homològica | |
| Soggetto genere / forma: | Llibres electrònics |
| Nota di contenuto: | - 1. Basic Notions -- 2. Some Classes of Modules -- 3. Right Artinian Rings -- 4. Local Rings, Injective Modules, Flat Modules -- 5. Additive Categories, Abelian Categories -- 6. Appendices. |
| Sommario/riassunto: | This textbook is designed for a first course in ring theory, module theory and category theory. Written following several decades of teaching experience, it stands out with its clear and engaging style, featuring thorough explanations and attention to detail. Carefully selected exercises encourage active learning and problem-solving. The textbook integrates elementary category theory with basic concepts and examples developed throughout the course. Although the primary focus is on rings and modules, relevant notions for other algebraic structures, such as groups and semigroups, are also discussed. Thus, this book aims at introducing students to noncommutative rings and modules within a broader algebraic context. Aimed at advanced undergraduates or master students in mathematics, this textbook is suitable both for use in the classroom and self-study. Whereas the first part of the book covers a basic course in ring and module theory, the latter part includes optional deepening topics. |
| Titolo autorizzato: | Introduction to Ring and Module Theory |
| ISBN: | 9783031825095 |
| 3031825098 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910992788803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Compact Textbooks in Mathematics, . 2296-455X