On some properties of normal ?-ideals in normal ?-semigroups
| dc.contributor.author | Basar, Abul | en_US |
| dc.contributor.author | Abbasi, Mohammad Yahya | en_US |
| dc.date.accessioned | 2020-10-27T09:31:46Z | |
| dc.date.available | 2020-10-27T09:31:46Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Basar, A. & Abbasi, M. Y. (2019). On some properties of normal Γ-ideals in normal Γ-semigroups. TWMS Journal Of Applied And Engineering Mathematics, 9(3), 455-460. | en_US |
| dc.identifier.issn | 2146-1147 | en_US |
| dc.identifier.issn | 2587-1013 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11729/2733 | |
| dc.identifier.uri | http://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/428 | |
| dc.description.abstract | We introduce the concept of normal ?-ideal and bi-?-ideal in normal ?semigroups. We characterize the (normal) ?-semigroup and normal regular ?-semigroup in terms of elementary properties of bi-?-ideal proving the various equivalent conditions. In particular, we establish, among the other things, that if I1, I2 are any two normal ?ideals of a ?-semigroup S, then their product I1?I2 and I2?I1 are also normal ?-ideals of S and I1?I2 = I2?I1. Finally, we show that the minimal normal ?-ideal of a ?-semigroup S is a ?-group. | en_US |
| dc.description.sponsorship | The first author is partially supported by the National Board of Higher Mathematics, Department of Atomic Energy, Government of India provided through Post-Doctoral Fellowship under grant number 2/(40)(30)/2015/R&D-II. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Işık University Press | en_US |
| dc.relation.ispartof | TWMS Journal Of Applied And Engineering Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Γ-semigroup | en_US |
| dc.subject | Normal ideal | en_US |
| dc.title | On some properties of normal ?-ideals in normal ?-semigroups | en_US |
| dc.type | Article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 9 | |
| dc.identifier.issue | 3 | |
| dc.identifier.startpage | 455 | |
| dc.identifier.endpage | 460 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
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