Examples of Pomonoids of Full Transformations of a Poset
| المصدر: | المجلة العلمية لجامعة الملك فيصل - العلوم الأساسية والتطبيقية |
|---|---|
| الناشر: | جامعة الملك فيصل |
| المؤلف الرئيسي: | Al Subaiei, Bana (Author) |
| المجلد/العدد: | مج23, ع1 |
| محكمة: | نعم |
| الدولة: |
السعودية |
| التاريخ الميلادي: |
2022
|
| الصفحات: | 26 - 29 |
| ISSN: |
1658-0311 |
| رقم MD: | 1288151 |
| نوع المحتوى: | بحوث ومقالات |
| اللغة: | الإنجليزية |
| قواعد المعلومات: | science |
| مواضيع: | |
| كلمات المؤلف المفتاحية: |
Posets | Pomonoids | Full Transformations
|
| رابط المحتوى: |
| المستخلص: |
In this research, the partially ordered monoid (simple pomonoid) full transformations of a poset ?(X) is studied, and some related properties are examined. We show that when the poset X is not totality ordered, the pomonoid of all decreasing singular self-maps of a poset X (denoted by S-) and the pomonoid of all increasing singular self-maps of a poset X (denoted by S+) may not be generally isomorphic. Some specific partial ordered relations are considered, and the cardinalities of S- and S+ under these relations are found. The set of fixed, decreasing, and increasing points of mapping a in α in ?(X) are also investigated. |
|---|---|
| ISSN: |
1658-0311 |
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