New Classes of Infinite Image Partition Regular Matrices Near Zero
Ram Chandra Manna, Sourav Kanti Patra, Rajib Sarkar
TL;DR
This paper introduces new classes of infinite image partition regular matrices near zero, expanding the known examples beyond the finite cases and enhancing the understanding of their structure in Ramsey Theory.
Contribution
The paper presents several new examples of infinite image partition regular matrices near zero, filling gaps in the existing classifications.
Findings
Several new classes of infinite matrices near zero identified
Enhanced understanding of matrix structures in Ramsey Theory
Contrasts with finite case characterizations
Abstract
Image partition regular matrices near zero generalizes many classical results of Ram- sey Theory. There are several characterizations of finite image partition regular matrices near zero. Contrast to the finite cases there are only few classes of matri- ces that are known to be infinite image partition regular near zero. In this present work we have produced several new examples of such classes.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications