On the Rees, Dilworth and Matsumura number
Mohsen Asgharzadeh
TL;DR
This paper explores advanced algebraic concepts related to the Rees, Dilworth, and Matsumura numbers, addressing open questions about their properties and higher-dimensional analogues.
Contribution
It provides new insights and results concerning the Rees, Dilworth, and Matsumura numbers, especially in higher dimensions, answering questions posed by Matsumura and Watanabe.
Findings
New properties of Rees and Dilworth numbers
Higher-dimensional versions analyzed and characterized
Answers to open questions by Matsumura and Watanabe
Abstract
We deal with some questions posted by Matsumura and Watanabe about the Rees and Dilworth number, and their higher-dimensional versions.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models