Please use this identifier to cite or link to this item:
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6410Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kadu, Ganesh S. | en_US |
| dc.contributor.author | Joshi, Vinayak | en_US |
| dc.contributor.author | GONDE, SAMRUDDHA | en_US |
| dc.date.accessioned | 2021-11-29T10:52:27Z | |
| dc.date.available | 2021-11-29T10:52:27Z | |
| dc.date.issued | 2021-12 | en_US |
| dc.identifier.citation | Bulletin of the Australian Mathematical Society, 104(3), 362-372. | en_US |
| dc.identifier.issn | 0004-9727 | en_US |
| dc.identifier.issn | 1755-1633 | en_US |
| dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6410 | - |
| dc.identifier.uri | https://doi.org/10.1017/S0004972721000265 | en_US |
| dc.description.abstract | We prove that the annihilating-ideal graph of a commutative semigroup with unity is, in general, not weakly perfect. This settles the conjecture of DeMeyer and Schneider [‘The annihilating-ideal graph of commutative semigroups’, J. Algebra 469 (2017), 402–420]. Further, we prove that the zero-divisor graphs of semigroups with respect to semiprime ideals are weakly perfect. This enables us to produce a large class of examples of weakly perfect zero-divisor graphs from a fixed semigroup by choosing different semiprime ideals. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.subject | Annihilating-ideal graph | en_US |
| dc.subject | Semigroup | en_US |
| dc.subject | Semiprime ideal | en_US |
| dc.subject | Weakly perfect graph | en_US |
| dc.subject | Zero-divisor graph | en_US |
| dc.subject | 2021-NOV-WEEK4 | en_US |
| dc.subject | TOC-NOV-2021 | en_US |
| dc.subject | 2021 | en_US |
| dc.title | On Weakly Perfect Annihilating-Ideal Graphs | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Dept. of Mathematics | en_US |
| dc.identifier.sourcetitle | Bulletin of the Australian Mathematical Society | en_US |
| dc.publication.originofpublisher | Foreign | en_US |
| Appears in Collections: | JOURNAL ARTICLES | |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.