Algebraic, Number Theoretic, and Topological Aspects of Ring Theory

Chabert, Jean-Luc, Fontana, Marco, Frisch, Sophie

Algebraic, Number Theoretic, and Topological Aspects of Ring Theory
  • 出版商: Springer
  • 出版日期: 2024-07-09
  • 售價: $5,690
  • 貴賓價: 9.5 折 $5,406
  • 語言: 英文
  • 頁數: 474
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031288491
  • ISBN-13: 9783031288494

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universität Graz, Graz, Austria, July 19 -24, 2021, and papers intended for presentation at the Fourth International Meeting on Integer-valued Polynomials and Related Topics, CIRM, Luminy, France, which was cancelled due to the pandemic. The collection ranges widely over the algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Two areas of particular note are topological methods in ring theory, and integer valued polynomials. The book is dedicated to the memory of Paul-Jean Cahen, a coauthor or research collaborator with some of the conference participants and a friend to many of the others. This collection contains a memorial article about Paul-Jean Cahen, written by his longtime research collaborator and coauthor Jean-Luc Chabert.


商品描述(中文翻譯)

本卷內容來自兩個來源：2021年7月19日至24日在奧地利格拉茨的技術大學舉辦的《環與多項式會議》的報告，以及原定於法國盧米尼的《第四屆整數值多項式及相關主題國際會議》上發表的論文，但因疫情而取消。這個合集廣泛涵蓋了環、代數和多項式的代數、數論及拓撲方面的議題。其中兩個特別值得注意的領域是環論中的拓撲方法和整數值多項式。本書獻給保羅-讓·卡亨的記憶，他是部分會議參與者的合著者或研究合作者，並且是許多其他人的朋友。本合集包含一篇由他長期的研究合作者和合著者讓-呂克·查貝特撰寫的紀念文章，紀念保羅-讓·卡亨。

作者簡介

Jean-Luc Chabert is emeritus professor of mathematics at the Université de Picardie-Jules Verne. His research interests include algebraic number theory, commutative algebra, and rings of polynomials.

Marco Fontana is emeritus professor of algebra at the Università degli Studi "Roma Tre". His research interests lie in the areas of commutative ring theory and related topological aspects, with main focus on multiplicative ideal theory, Prüfer-like conditions and ideal factorizations, and Zariski-Riemann spaces of valuation domains.

Sophie Frisch is associate professor of mathematics at Technische Universität Graz, Graz, Austria. Her research interests are in commutative algebra and ring theory, including, but not limited to, polynomial mappings and integer-valued polynomials.

Sarah Glaz is emeritus professor of mathematics at the University of Connecticut. Her research interests lie in the areas of commutative ring theory and homological algebra, with main focus on non-Noetherian properties such as coherence, finite conductor, Gaussian, and Prüfer-like conditions of rings and their modules.

Keith Johnson is emeritus professor of mathematics at Dalhousie University. His research interests include number theory, algebraic topology and algebra, particularly the occurrence and uses of rings of integer valued polynomials in algebraic topology.

作者簡介(中文翻譯)

Jean-Luc Chabert 是皮卡第-朱爾斯·凡爾大學的名譽數學教授。他的研究興趣包括代數數論、交換代數和多項式環。

Marco Fontana 是羅馬三大學的名譽代數教授。他的研究興趣集中在交換環理論及相關的拓撲方面，主要關注乘法理想理論、Prüfer 類似條件和理想分解，以及估值域的 Zariski-Riemann 空間。

Sophie Frisch 是奧地利格拉茨技術大學的數學副教授。她的研究興趣在於交換代數和環論，包括但不限於多項式映射和整數值多項式。

Sarah Glaz 是康乃爾大學的名譽數學教授。她的研究興趣集中在交換環理論和同調代數，主要關注非諾特性質，如一致性、有限導體、高斯性和環及其模的 Prüfer 類似條件。

Keith Johnson 是達爾豪斯大學的名譽數學教授。他的研究興趣包括數論、代數拓撲和代數，特別是整數值多項式環在代數拓撲中的出現和應用。

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