| dc.creator | Goswami, Nabanita | |
| dc.creator | Saikia, Helen K. | |
| dc.date | 2020-06-03 | |
| dc.date.accessioned | 2020-07-13T16:27:06Z | |
| dc.date.available | 2020-07-13T16:27:06Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3717 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-03-0032 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/140509 | |
| dc.description | Let S be a commutative semiring with unity. The singular ideal Z(S) of S is defined as Z(S) = {s ? S | sK = 0 for some essential ideal K of S}. In this paper, we introduce the notion of total graph of a commutative semiring with respect to the singular ideal. We define this graph as the undirected graph T(?(S)) with all elements of S as vertices and any two distinct vertices x and y are adjacent if and only if x + y ? Z(S). We discuss various characteristics of this total graph and also characterize some important properties of certain induced subgraphs of this total graph. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3717/3402 | |
| dc.rights | Copyright (c) 2020 Nabanita Goswami, Helen K. Saikia | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 3 (2020); 517-527 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 517-527 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2020-03 | |
| dc.subject | Semiring | en-US |
| dc.subject | Total graph | en-US |
| dc.subject | Singular ideal | en-US |
| dc.subject | Induced subgraph | en-US |
| dc.subject | 05C25 | en-US |
| dc.subject | Graphs and abstract algebra (groups, rings, fields, etc.) | en-US |
| dc.subject | 05C75 | en-US |
| dc.subject | Structural characterization of families of graphs | en-US |
| dc.subject | 16Y60 | en-US |
| dc.subject | Semirings | en-US |
| dc.title | Total graph of a commutative semiring with respect to singular ideal | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
