Gorenstein Homological Algebra
暫譯: 戈倫斯坦同調代數
Iacob, Alina
- 出版商: CRC
- 出版日期: 2018-08-10
- 售價: $6,780
- 貴賓價: 9.5 折 $6,441
- 語言: 英文
- 頁數: 214
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1138065498
- ISBN-13: 9781138065499
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相關主題
商品描述
Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry. While in classical homological algebra the existence of the projective, injective, and flat resolutions over arbitrary rings are well known, things are a little different when it comes to Gorenstein homological algebra. The main open problems in this area deal with the existence of the Gorenstein injective, Gorenstein projective, and Gorenstein flat resolutions. Gorenstein Homological Algebra is especially suitable for graduate students interested in homological algebra and its applications.
商品描述(中文翻譯)
Gorenstein 同調代數是一個重要的數學領域,應用於交換代數和非交換代數、模型類別理論、表示理論以及代數幾何。雖然在經典的同調代數中,任意環上存在的專項、單射和扁平分解是眾所周知的,但在 Gorenstein 同調代數中情況稍有不同。這個領域的主要未解問題涉及 Gorenstein 單射、Gorenstein 專項和 Gorenstein 扁平分解的存在性。Gorenstein Homological Algebra 特別適合對同調代數及其應用感興趣的研究生。
作者簡介
Alina Iacob is a professor of mathematics at Georgia Southern University. Her primary research interests are homological and communicative algebra.
作者簡介(中文翻譯)
阿莉娜·雅各布是喬治亞南方大學的數學教授。她的主要研究興趣是同調代數和交互代數。