Open Accessλ–Algebra with Some of Their Properties
Author(s) -
Hassan H. Ebrahim,
Rusul Abd Al_salam Ali
Publication year - 2020
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 - 10.30526/33.2.2428
Subject(s) - algebra over a field , class (philosophy) , mathematics , field (mathematics) , cellular algebra , filtered algebra , algebra representation , monotone polygon , measure (data warehouse) , pure mathematics , computer science , geometry , database , artificial intelligence
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.