Structure of Algebras
暫譯: 代數的結構
Albert, A. Adrian
- 出版商: Dover Publications
- 出版日期: 2026-07-14
- 售價: $940
- 貴賓價: 9.5 折 $893
- 語言: 英文
- 頁數: 224
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0486856372
- ISBN-13: 9780486856377
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
This seminal work offers a rigorous treatment of associative algebras, serving as a comprehensive foundational text. A. Adrian Albert pioneered methods for handling cyclic and crossed product algebras, developed novel factorization techniques for division algebras of prime-power degree, and unified algebraic results to yield simpler, generalized solutions that reduced reliance on complex classical ideal theory. The book also linked algebraic theory to new applications, such as Riemann matrices and involution algebras, thereby bridging historic algebraic theory with contemporary advances and applications in geometry and analysis. This once out-of-print masterpiece is now accessible to a new generation of students and includes a comprehensive bibliography of related topics for researchers.
商品描述(中文翻譯)
這部開創性的著作對聯合代數進行了嚴謹的探討,作為一本全面的基礎文本。A. Adrian Albert 開創了處理循環和交叉乘積代數的方法,發展了針對質數次方的除法代數的新型因式分解技術,並統一了代數結果,以產生更簡單的廣義解決方案,減少對複雜的古典理想理論的依賴。該書還將代數理論與新應用相連結,例如黎曼矩陣和自反代數,從而將歷史上的代數理論與當代幾何和分析的進展及應用橋接起來。這部曾經絕版的傑作現在對新一代學生開放,並包含了相關主題的全面參考書目,供研究人員使用。
作者簡介
Abraham Adrian Albert was an American mathematician. In 1939, he received the American Mathematical Society's Cole Prize in Algebra for his work on Riemann matrices.
作者簡介(中文翻譯)
亞伯拉罕·阿德里安·阿爾伯特(Abraham Adrian Albert)是一位美國數學家。1939年,他因在黎曼矩陣(Riemann matrices)方面的研究而獲得美國數學學會(American Mathematical Society)的科爾獎(Cole Prize in Algebra)。