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Commutative Algebra
The Mathematical Legacy of Wolmer V. Vasconcelos
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Edited by:
Joseph Brennan
Language:
English
Published/Copyright:
2025
About this book
Wolmer Vasconcelos was one of the giants in the development of Commutative Algebra in the latter half of the twentieth century and the first decades of the twenty-first century. This work collects in one place essays illustrating the important developments of his work particularly in commutative algebra that permits the reader to see the development of his important ideas and how they influence the development of mathematics today.
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- Essays by experts provide context for understanding the work of Vasconcelos
- Focused sections deliver an understanding of collaborative work in Mathematics
- Of interest to researchers and graduate students working in all forms of algebra.
Author / Editor information
Joseph Brennan, University of Central Florida, USA; Aron Simis, Federal University of Pernambuco, Brazil.
Topics
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Frontmatter
I -
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Preface
V -
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Contents
VII -
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Wolmer Vasconcelos, a tribute
IX -
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Vasconcelos Bibliography (1964–2024)
XVII -
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The early years: flatness, projectivity, and R-sequences
1 -
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Joint work with Wolmer Vasconcelos. The early years
41 -
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Homological properties of the module of differentials
71 -
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Hilbert coefficients and Sally modules: a survey of Vasconcelos’ contributions
97 -
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Graph rings and ideals: Wolmer Vasconcelos’ contributions
133 -
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Degrees: Vasconcelos contributions
203 -
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The books of Wolmer V. Vasconcelos
241 -
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Finding nilpotents with Wolmer Vasconcelos
261 -
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Rees algebras over residual intersections
279 -
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Structure theorems for Gorenstein ideals of codimension four with small number of generators
297 -
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Sifted degrees of the equations of the Rees module and their connection with the Artin–Rees numbers
333 -
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Reembeddings of special border basis schemes
353 -
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389 -
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Rings with q-torsionfree canonical modules
405
Publishing information
Pages and Images/Illustrations in book
eBook published on:
September 8, 2025
eBook ISBN:
9783110999365
Hardcover published on:
September 8, 2025
Hardcover ISBN:
9783111000091
Pages and Images/Illustrations in book
Front matter:
15
Main content:
435
Illustrations:
15
Tables:
5
Audience(s) for this book
Libraries, graduate students and researchers in commutative algebra, algebraic geometry, and computational algebra.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
