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Rough Interior Ideals and Rough Quasi-Ideals inApproximation Spaces of Semigroups under Preorder andCompatible Relations |
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| รหัสดีโอไอ | |
| Creator | Rukchart Prasertpong |
| Title | Rough Interior Ideals and Rough Quasi-Ideals inApproximation Spaces of Semigroups under Preorder andCompatible Relations |
| Contributor | Sasisophit Buada |
| Publisher | Faculty of Science and Technology, Suan Sunandha Rajabhat University |
| Publication Year | 2564 |
| Journal Title | Suan Sunandha Science and Technology Journal |
| Journal Vol. | 8 |
| Journal No. | 1 |
| Page no. | 21 to 26 |
| Keyword | Rough interior ideal, Rough quasi-ideal, Approximation space, Semigroup, Preorder and compatiblerelation________ |
| URL Website | www.ssstj.sci.ssru.ac.th |
| Website title | Suan Sunandha Science and Technology Journal (SSSTJ) |
| ISSN | 2351-0889 |
| Abstract | In this paper, a rough interior ideal and a rough quasi-ideal in an approximation space of a semigroup under apreorder and compatible relation are proposed. As introduced above, corresponding examples are presented. Next,we provide a sufficient condition for the rough interior ideal (resp., rough quasi-ideal). Finally, we give a necessaryand sufficient condition for a homomorphic image of the rough interior ideal (resp., rough quasi-ideal). |