λ–Algebra with Some of Their Properties

Main Article Content

Hassan Hussien Ebrahim Rusul Abd Al_salam Ali

Abstract

    The objective of this paper is, firstly, we study a new concept noted by algebra and discuss the properties of this concept. Secondly, we introduce a new concept related to the algebra such as smallest algebra. Thirdly, we introduce the notion of the restriction of algebra on a nonempty subset  of and investigate some of its basic properties. Furthermore, we present the relationships between field, monotone class, field and algebra. Finally, we introduce the concept of measure relative to the algebra and prove that every measure relative to the   is complete.

Article Details

How to Cite
EBRAHIM, Hassan Hussien; ALI, Rusul Abd Al_salam. λ–Algebra with Some of Their Properties. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 33, n. 2, p. 72-80, apr. 2020. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/2428>. Date accessed: 28 may 2020. doi: http://dx.doi.org/10.30526/33.2.2428.
Section
mathematics