z-logo
open-access-imgOpen Access
On a New Kind of Collection of Subsets Noted by δ–field and Some Concepts Defined on δ–field
Author(s) -
Hassan H. Ebrahim,
Ibrahim S. Ahmed
Publication year - 2019
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and ap‪plied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/32.2.2140
Subject(s) - field (mathematics) , measure (data warehouse)
     The objective of this paper is, first, study a new collection of sets such as field and we discuss the properties of this collection. Second, introduce a new concepts related to the field such as measure on field, outer measure on field and we obtain some important results deals with these concepts. Third, introduce the concept of null-additive on field as a generalization of the concept of measure on field. Furthermore, we establish new concept related to - field noted by weakly null-additive on field as a generalizations of the concepts of measure on and null-additive. Finally, we introduce the restriction of a set function  on field and many of its properties and characterizations are given.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here