| Autor: |
Aaly Kologani M., Jun Y.B., Borzooei R.A. |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 2, Pp 5-22 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1844-0835 |
| DOI: |
10.2478/auom-2023-0016 |
| Popis: |
We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean elements set are equal. Then we define the concept of regular filter in hoops and v-hoops with RF-property and peruse some properties of them. In addition, we show that each v-hoop with RF-property, is a Boolean algebra and any hoop A with RF-property such that B(A) = {0, 1}, is a local hoop. Finally, we prove that any hoop A has RF-property if and only if Spec(A) = Max(A) and if and only if A is a hyperarchimedean. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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