Introduction to Cluster Algebras. Chapter 6
Sergey Fomin, Lauren Williams, Andrei Zelevinsky
TL;DR
This chapter introduces the concept of cluster structures within commutative rings, providing foundational insights into the algebraic framework of cluster algebras for further mathematical exploration.
Contribution
It presents a preliminary overview of cluster structures in commutative rings, expanding the foundational understanding of cluster algebras in algebraic contexts.
Findings
Defines cluster structures in commutative rings
Establishes basic properties and examples
Lays groundwork for future research
Abstract
This is a preliminary draft of Chapter 6 of our forthcoming textbook "Introduction to Cluster Algebras." Chapters 1-3 have been posted as arXiv:1608.05735. Chapters 4-5 have been posted as arXiv:1707.07190. This installment contains: Chapter 6. Cluster structures in commutative rings
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Catalysis and Oxidation Reactions