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024 7 $a10.1007/978-3-031-96296-7
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035   $a(DE-He213)978-3-031-96296-7
035   $a(OCoLC)1535978461
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100   $a20250830d2025      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to Noncommutative Algebra /$fby Matej Bre?ar
205   $a2nd ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (508 pages)
225 1 $aUniversitext,$x2191-6675
311 08$a3-031-96295-8 
327   $aChapter 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.
330   $aThis textbook offers an elementary introduction to noncommutative rings and algebras. Beginning with the classical theory of finite-dimensional algebras, it then develops a more general structure theory of rings, grounded in modules and tensor products. The final chapters cover free algebras, polynomial identities, and rings of quotients. Many results are presented in a simplified form rather than in full generality, with an emphasis on clear and understandable exposition. Prerequisites are kept to a minimum, and new concepts are introduced gradually and carefully motivated. Introduction to Noncommutative Algebra is thus accessible to a broad mathematical audience, though it is primarily intended for beginning graduate students and advanced undergraduates encountering the subject for the first time. This new edition includes several additions and improvements, while preserving the original text?s character and approach. Praise for the first edition: ?It will soon find its place in classrooms? ? Plamen Koshlukov, Mathematical Reviews ?Very well written [...] very pleasant to read? ? Veereshwar A. Hiremath, zbMATH ?An excellent choice for a first graduate course? ? D. S. Larson, Choice.
410  0$aUniversitext,$x2191-6675
606   $aAssociative rings
606   $aAssociative algebras
606   $aAssociative Rings and Algebras
615  0$aAssociative rings.
615  0$aAssociative algebras.
615 14$aAssociative Rings and Algebras.
676   $a512.46
700   $aBresar$b Matej$0721264
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911022465603321
996   $aIntroduction to noncommutative algebra$91409855
997   $aUNINA