Roughness Of Prime Bi-Ideals & Semi prime Bi-Ideals In Semigroups (Record no. 56069)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01786nam a22001337a 4500 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Arain, Muhammad Masoom |
| -- | 13MSM18 |
| -- | Supervisor Dr. Muhammad Afzal Soomro |
| 245 ## - TITLE STATEMENT | |
| Title | Roughness Of Prime Bi-Ideals & Semi prime Bi-Ideals In Semigroups |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Nwabshah: |
| Name of publisher | QUEST, |
| Year of publication | 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 51p, : |
| 500 ## - GENERAL NOTE | |
| General note | ABSTRACT<br/><br/>In the year of 1982 Z Pawlak introduced idea of rough set. M. K. Sen introduced f -semigroups in 1981. The roughness of ideals in semi-groups was defined by N. Kuroki in 1997; consequently, the rough sub [-semi-group, rough ideal (R.I) and rough bi-ideal (R. bi-I) of f -semi-group were studied by Y. B. Jun in 2003. Q. Mei. Xiao and Zhen-Liang Zhang discussed the association between upper and lower rough prime ideals (upper and lower R.P ideal) of semi-groups. He also gave upper approximation and lower approximations (U-Approx and L-Approx, respectively) of their homomorphic images in a paper of 2006.<br/>R. Chinram discussed the idea of rough prime ideals (R. P. Ideals) in f -semi-groups in 2009. Muhammad Shabir and Naila Kanwal introduced prime bi--ideals in semi-groups in 2007. Following those, Muhammad Shabir and Shujaat Ali Shah introduced prime bi-ideals of f -semi-groups in 2012. In this dissertation, we give the notion of rough prime bi-ideals (R.P bi-ideal) and semiprime bi-ideals of f -semi-groups and give some results about these R.P bi-ideals of f -semi-groups. Also, we incorporate upper and lower R. P ideal of f -semi-groups. Also, the U-Approx and L-Approx of their homomorphic images are studied. Moreover, we considered the upper and lower R.P bi-ideals of f -semi-groups and the U-Approx and L- Approx of their homomorphic.<br/> |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Department of Mathematics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://tinyurl.com/35ybu5dk |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Thesis and Dissertation |
| Withdrawn status | Lost status | Home library | Current library | Date acquired | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Research Section | Research Section | 24/11/2016 | MP/15-144 | Thesis and Dissertation | ||
| Research Section | Research Section | 01/10/2018 | MP/26-288 | Thesis and Dissertation |