P-CLOSURE IN PSEUDO BCI-ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| مقاله 4، دوره 7، شماره 2، فروردین 2020، صفحه 155-165 اصل مقاله (142.34 K) | ||
| نوع مقاله: Review Paper | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2019.6332.1315 | ||
| نویسنده | ||
| H. Harizavi* | ||
| Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran. | ||
| چکیده | ||
| In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated. Applying this concept, a characterization of the minimal elements of X is given. It is proved that C(pc) is the least closed pseudo BCI-ideal of X containing C and K(X) for any ideal C of X. Finally, by using the concept of p-closure, a closure operator is introduced. | ||
| کلیدواژهها | ||
| Pseudo BCI-algebra؛ Pseudo BCI-ideal؛ P-closure؛ Closure operator | ||
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آمار تعداد مشاهده مقاله: 580 تعداد دریافت فایل اصل مقاله: 778 |
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