On Pre-Proper Functions | Zendy

Sabiha I. Mahmood | Zendy

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On Pre-Proper Functions

Author(s) -

Sabiha I. Mahmood

Publication year - 2011

Publication title -

journal of al-nahrain university-science

Language(s) - English

Resource type - Journals

eISSN - 2519-0881

pISSN - 1814-5922

DOI - 10.22401/jnus.14.1.18

Subject(s) - converse , generalization , relation (database) , mathematics , type (biology) , addition theorem , function (biology) , pure mathematics , computer science , mathematical analysis , data mining , ecology , geometry , evolutionary biology , biology

In this paper we introduce new type of functions called pre-proper functions as generalization of proper functions. Also, we study the characterizations and basic properties of pre-proper and preclosed functions. Moreover we study the relation between the pre-proper functions and each of proper functions, pre-closed functions and closed functions respectively and we give an example when the converse may not be true.

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