On Psi∗-operator in ideal m-spaces
An ideal on a set X is a nonempty collection of subsets of X withheredity property which is also closed finite unions. The concept of ideal m-spaces was introduced by Al-Omari and Noiri [1]. In this paper, we introduce and study an operator Psi_{*} : P(X) rightarrow M defined as follows for every A...
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| Format: | Article |
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Sociedade Brasileira de Matemática
2012-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12787/6800 |
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doaj-6e2e33b79453493b8274d5ee5e962fe72020-11-24T22:47:39ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882012-01-013015366On Psi∗-operator in ideal m-spacesAhmad Al-OmariTakashi NoiriAn ideal on a set X is a nonempty collection of subsets of X withheredity property which is also closed finite unions. The concept of ideal m-spaces was introduced by Al-Omari and Noiri [1]. In this paper, we introduce and study an operator Psi_{*} : P(X) rightarrow M defined as follows for every A in X, Psi_{*}(A) = {x in X :there exists a U in M(x) such that U − A in I}, and observes that Psi_{*}(A) =X − (X − A)_{*}.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12787/6800Psi∗-operatorideal m-space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ahmad Al-Omari Takashi Noiri |
| spellingShingle |
Ahmad Al-Omari Takashi Noiri On Psi∗-operator in ideal m-spaces Boletim da Sociedade Paranaense de Matemática Psi∗-operator ideal m-space. |
| author_facet |
Ahmad Al-Omari Takashi Noiri |
| author_sort |
Ahmad Al-Omari |
| title |
On Psi∗-operator in ideal m-spaces |
| title_short |
On Psi∗-operator in ideal m-spaces |
| title_full |
On Psi∗-operator in ideal m-spaces |
| title_fullStr |
On Psi∗-operator in ideal m-spaces |
| title_full_unstemmed |
On Psi∗-operator in ideal m-spaces |
| title_sort |
on psi∗-operator in ideal m-spaces |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2012-01-01 |
| description |
An ideal on a set X is a nonempty collection of subsets of X withheredity property which is also closed finite unions. The concept of ideal m-spaces was introduced by Al-Omari and Noiri [1]. In this paper, we introduce and study an operator Psi_{*} : P(X) rightarrow M defined as follows for every A in X, Psi_{*}(A) = {x in X :there exists a U in M(x) such that U − A in I}, and observes that Psi_{*}(A) =X − (X − A)_{*}. |
| topic |
Psi∗-operator ideal m-space. |
| url |
http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12787/6800 |
| work_keys_str_mv |
AT ahmadalomari onpsioperatorinidealmspaces AT takashinoiri onpsioperatorinidealmspaces |
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1725680983007559680 |