{ "id": "1803.07932", "version": "v1", "published": "2018-02-10T12:37:08.000Z", "updated": "2018-02-10T12:37:08.000Z", "title": "C-image partition regularity near zero", "authors": [ "Sourav Kanti Patra", "Sukrit Chakraborty" ], "comment": "12 pages. arXiv admin note: text overlap with arXiv:1309.7425, arXiv:1409.5945 by other authors", "categories": [ "math.GN", "math.CO", "math.GR" ], "abstract": "In \\cite{dehind1}, the concept of image partition regularity near zero was first instigated. In contrast to the finite case , infinite image partition regular matrices near zero are very fascinating to analyze. In this regard the abstraction of Centrally image partition regular matrices near zero was introduced in \\cite{biswaspaul}. In this paper we propose the notion of matrices that are C-image partition regular near zero for dense subsemigropus of $((0,\\infty),+)$.", "revisions": [ { "version": "v1", "updated": "2018-02-10T12:37:08.000Z" } ], "analyses": { "keywords": [ "c-image partition regularity", "infinite image partition regular matrices", "centrally image partition regular matrices", "finite case" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }